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675742464 = 2832319461
BaseRepresentation
bin101000010001110…
…000001100000000
31202002112021101200
4220101300030000
52340442224324
6151015301200
722513500435
oct5021601400
91662467350
10675742464
11317491351
1216a37a800
13a9cc8117
1465a61b8c
153e4ceec9
hex28470300

675742464 has 108 divisors (see below), whose sum is σ = 2011394112. Its totient is φ = 217958400.

The previous prime is 675742411. The next prime is 675742493. The reversal of 675742464 is 464247576.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66694 + ... + 76154.

Almost surely, 2675742464 is an apocalyptic number.

675742464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005697056).

675742464 is an abundant number, since it is smaller than the sum of its proper divisors (1335651648).

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

675742464 is a wasteful number, since it uses less digits than its factorization.

675742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9514 (or 9497 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 675742464 is about 25995.0469128255. The cubic root of 675742464 is about 877.5268299684.

The spelling of 675742464 in words is "six hundred seventy-five million, seven hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1488 1984 2232 2304 2976 3968 4464 5952 7936 8928 9461 11904 17856 18922 23808 28383 35712 37844 56766 71424 75688 85149 113532 151376 170298 227064 293291 302752 340596 454128 586582 605504 681192 879873 908256 1173164 1211008 1362384 1759746 1816512 2346328 2422016 2639619 2724768 3519492 3633024 4692656 5279238 5449536 7038984 7266048 9385312 10558476 10899072 14077968 18770624 21116952 21798144 28155936 37541248 42233904 56311872 75082496 84467808 112623744 168935616 225247488 337871232 675742464