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4649057856 = 26349472
BaseRepresentation
bin1000101010001101…
…01111111001000000
3110000000000121110000
410111012233321000
534010124322411
62045153240000
7223131224352
oct42506577100
913000017400
104649057856
111a762a9a83
12a98b63000
13591235911
1432162b0d2
151c3233956
hex1151afe40

4649057856 has 105 divisors (see below), whose sum is σ = 13795831819. Its totient is φ = 1548049536.

The previous prime is 4649057849. The next prime is 4649057887. The reversal of 4649057856 is 6587509464.

The square root of 4649057856 is 68184.

It is a perfect power (a square), and thus also a powerful number.

4649057856 is a `hidden beast` number, since 4 + 64 + 9 + 0 + 578 + 5 + 6 = 666.

It is a super-2 number, since 2×46490578562 = 43227477896870633472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4908775 + ... + 4909721.

Almost surely, 24649057856 is an apocalyptic number.

4649057856 is the 68184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4649057856

4649057856 is an abundant number, since it is smaller than the sum of its proper divisors (9146773963).

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

4649057856 is an frugal number, since it uses more digits than its factorization.

4649057856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The cubic root of 4649057856 is about 1668.9948001934.

The spelling of 4649057856 in words is "four billion, six hundred forty-nine million, fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 947 1296 1728 1894 2592 2841 3788 5184 5682 7576 8523 11364 15152 17046 22728 25569 30304 34092 45456 51138 60608 68184 76707 90912 102276 136368 153414 181824 204552 272736 306828 409104 545472 613656 818208 896809 1227312 1636416 1793618 2454624 2690427 3587236 4909248 5380854 7174472 8071281 10761708 14348944 16142562 21523416 24213843 28697888 32285124 43046832 48427686 57395776 64570248 72641529 86093664 96855372 129140496 145283058 172187328 193710744 258280992 290566116 387421488 516561984 581132232 774842976 1162264464 1549685952 2324528928 4649057856