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460545056 = 25292109157
BaseRepresentation
bin11011011100110…
…101110000100000
31012002121010001022
4123130311300200
51420344420211
6113411025012
714261365646
oct3334656040
91162533038
10460545056
11216a69354
1210a29b168
137454c68a
1445245196
152a672bdb
hex1b735c20

460545056 has 72 divisors (see below), whose sum is σ = 953692740. Its totient is φ = 218889216.

The previous prime is 460544881. The next prime is 460545073. The reversal of 460545056 is 650545064.

It can be written as a sum of positive squares in 6 ways, for example, as 239011600 + 221533456 = 15460^2 + 14884^2 .

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, 2933330 + ... + 2933486.

Almost surely, 2460545056 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 460545056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476846370).

460545056 is an abundant number, since it is smaller than the sum of its proper divisors (493147684).

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

460545056 is a wasteful number, since it uses less digits than its factorization.

460545056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 460545056 is about 21460.3135112235. The cubic root of 460545056 is about 772.2490359634.

The spelling of 460545056 in words is "four hundred sixty million, five hundred forty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 58 109 116 157 218 232 314 436 464 628 841 872 928 1256 1682 1744 2512 3161 3364 3488 4553 5024 6322 6728 9106 12644 13456 17113 18212 25288 26912 34226 36424 50576 68452 72848 91669 101152 132037 136904 145696 183338 264074 273808 366676 496277 528148 547616 733352 992554 1056296 1466704 1985108 2112592 2933408 3970216 4225184 7940432 14392033 15880864 28784066 57568132 115136264 230272528 460545056