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4731296832 = 2634973
BaseRepresentation
bin1000110100000000…
…11101110001000000
3110012201202210010000
410122000131301000
534142202444312
62101252040000
7225150234213
oct43200356100
913181683100
104731296832
11200876a379
12b00603000
135a529b132
1432c51777a
151ca57aadc
hex11a01dc40

4731296832 has 140 divisors (see below), whose sum is σ = 14171140060. Its totient is φ = 1560840192.

The previous prime is 4731296813. The next prime is 4731296833. The reversal of 4731296832 is 2386921374.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4731296832 is a `hidden beast` number, since 473 + 12 + 96 + 83 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 457275456 + 4274021376 = 21384^2 + 65376^2 .

It is an ABA number since it can be written as A⋅BA, here for A=3, B=1164.

It is not an unprimeable number, because it can be changed into a prime (4731296833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48776208 + ... + 48776304.

It is an arithmetic number, because the mean of its divisors is an integer number (101222429).

Almost surely, 24731296832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4731296832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085570030).

4731296832 is an abundant number, since it is smaller than the sum of its proper divisors (9439843228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4731296832 is an frugal number, since it uses more digits than its factorization.

4731296832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 102 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 4731296832 is about 68784.4228877440. The cubic root of 4731296832 is about 1678.7784998378.

The spelling of 4731296832 in words is "four billion, seven hundred thirty-one million, two hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 144 162 192 194 216 288 291 324 388 432 576 582 648 776 864 873 1164 1296 1552 1728 1746 2328 2592 2619 3104 3492 4656 5184 5238 6208 6984 7857 9312 9409 10476 13968 15714 18624 18818 20952 27936 28227 31428 37636 41904 55872 56454 62856 75272 83808 84681 112908 125712 150544 167616 169362 225816 251424 254043 301088 338724 451632 502848 508086 602176 677448 762129 903264 912673 1016172 1354896 1524258 1806528 1825346 2032344 2709792 2738019 3048516 3650692 4064688 5419584 5476038 6097032 7301384 8129376 8214057 10952076 12194064 14602768 16258752 16428114 21904152 24388128 24642171 29205536 32856228 43808304 48776256 49284342 58411072 65712456 73926513 87616608 98568684 131424912 147853026 175233216 197137368 262849824 295706052 394274736 525699648 591412104 788549472 1182824208 1577098944 2365648416 4731296832