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461606656 = 2874751
BaseRepresentation
bin11011100000111…
…000111100000000
31012011121001021211
4123200320330000
51421132403111
6113445455504
714303410000
oct3340707400
91164531254
10461606656
11217623a05
1210a711594
1374831944
1445440000
152a7d2521
hex1b838f00

461606656 has 90 divisors (see below), whose sum is σ = 1076345872. Its totient is φ = 197568000.

The previous prime is 461606633. The next prime is 461606671. The reversal of 461606656 is 656606164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 614281 + ... + 615031.

Almost surely, 2461606656 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 461606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538172936).

461606656 is an abundant number, since it is smaller than the sum of its proper divisors (614739216).

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

461606656 is an frugal number, since it uses more digits than its factorization.

461606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 461606656 is about 21485.0333022781. The cubic root of 461606656 is about 772.8419496937.

The spelling of 461606656 in words is "four hundred sixty-one million, six hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 751 784 896 1372 1502 1568 1792 2401 2744 3004 3136 4802 5257 5488 6008 6272 9604 10514 10976 12016 12544 19208 21028 21952 24032 36799 38416 42056 43904 48064 73598 76832 84112 87808 96128 147196 153664 168224 192256 257593 294392 307328 336448 515186 588784 614656 672896 1030372 1177568 1345792 1803151 2060744 2355136 3606302 4121488 4710272 7212604 8242976 9420544 14425208 16485952 28850416 32971904 57700832 65943808 115401664 230803328 461606656