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4745832096 = 253791095741
BaseRepresentation
bin1000110101101111…
…11010011010100000
3110020202010020202010
410122313322122200
534204413111341
62102531352520
7225414623115
oct43267723240
913222106663
104745832096
112015997995
12b05452740
135a82ba095
1433041c90c
151cb99c716
hex11adfa6a0

4745832096 has 96 divisors (see below), whose sum is σ = 12733459200. Its totient is φ = 1547320320.

The previous prime is 4745832083. The next prime is 4745832101. The reversal of 4745832096 is 6902385474.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823786 + ... + 829526.

It is an arithmetic number, because the mean of its divisors is an integer number (132640200).

Almost surely, 24745832096 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 4745832096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6366729600).

4745832096 is an abundant number, since it is smaller than the sum of its proper divisors (7987627104).

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

4745832096 is a wasteful number, since it uses less digits than its factorization.

4745832096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 4745832096 is about 68889.9999709682. Note that the first 4 decimals coincide. The cubic root of 4745832096 is about 1680.4958966924.

The spelling of 4745832096 in words is "four billion, seven hundred forty-five million, eight hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 109 158 218 237 316 327 436 474 632 654 872 948 1264 1308 1744 1896 2528 2616 3488 3792 5232 5741 7584 8611 10464 11482 17222 17223 22964 25833 34444 34446 45928 51666 68888 68892 91856 103332 137776 137784 183712 206664 275552 275568 413328 453539 551136 625769 826656 907078 1251538 1360617 1814156 1877307 2503076 2721234 3628312 3754614 5006152 5442468 7256624 7509228 10012304 10884936 14513248 15018456 20024608 21769872 30036912 43539744 49435751 60073824 98871502 148307253 197743004 296614506 395486008 593229012 790972016 1186458024 1581944032 2372916048 4745832096