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749707264 = 213232173
BaseRepresentation
bin101100101011111…
…010000000000000
31221020201002000201
4230223322000000
53013411113024
6202220454544
724402256315
oct5453720000
91836632021
10749707264
11355210189
1218b0aa454
13bc424487
14717d6d0c
1545c40744
hex2cafa000

749707264 has 84 divisors (see below), whose sum is σ = 1576405026. Its totient is φ = 356483072.

The previous prime is 749707237. The next prime is 749707267. The reversal of 749707264 is 462707947.

It can be written as a sum of positive squares in only one way, i.e., 487526400 + 262180864 = 22080^2 + 16192^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (749707267) 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 5 ways as a sum of consecutive naturals, for example, 4333482 + ... + 4333654.

Almost surely, 2749707264 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 749707264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788202513).

749707264 is an abundant number, since it is smaller than the sum of its proper divisors (826697762).

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

749707264 is an equidigital number, since it uses as much as digits as its factorization.

749707264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The square root of 749707264 is about 27380.7827499507. The cubic root of 749707264 is about 908.4420728969.

The spelling of 749707264 in words is "seven hundred forty-nine million, seven hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 173 184 256 346 368 512 529 692 736 1024 1058 1384 1472 2048 2116 2768 2944 3979 4096 4232 5536 5888 7958 8192 8464 11072 11776 15916 16928 22144 23552 31832 33856 44288 47104 63664 67712 88576 91517 94208 127328 135424 177152 183034 188416 254656 270848 354304 366068 509312 541696 708608 732136 1018624 1083392 1417216 1464272 2037248 2166784 2928544 4074496 4333568 5857088 8148992 11714176 16297984 23428352 32595968 46856704 93713408 187426816 374853632 749707264