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457044056 = 237411371453
BaseRepresentation
bin11011001111011…
…111000001011000
31011212000020120122
4123033133001120
51414000402211
6113204012412
714216544650
oct3317370130
91155006518
10457044056
11214a97a67
12109091108
13738c4c91
14449b3360
152a1d06db
hex1b3df058

457044056 has 64 divisors (see below), whose sum is σ = 1011286080. Its totient is φ = 189573120.

The previous prime is 457044019. The next prime is 457044061. The reversal of 457044056 is 650440754.

It is a super-2 number, since 2×4570440562 = 417778538249862272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313826 + ... + 315278.

It is an arithmetic number, because the mean of its divisors is an integer number (15801345).

Almost surely, 2457044056 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 457044056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505643040).

457044056 is an abundant number, since it is smaller than the sum of its proper divisors (554242024).

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

457044056 is a wasteful number, since it uses less digits than its factorization.

457044056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 457044056 is about 21378.5887279773. The cubic root of 457044056 is about 770.2872128080.

The spelling of 457044056 in words is "four hundred fifty-seven million, forty-four thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 41 56 82 137 164 274 287 328 548 574 959 1096 1148 1453 1918 2296 2906 3836 5617 5812 7672 10171 11234 11624 20342 22468 39319 40684 44936 59573 78638 81368 119146 157276 199061 238292 314552 398122 417011 476584 796244 834022 1393427 1592488 1668044 2786854 3336088 5573708 8161501 11147416 16323002 32646004 57130507 65292008 114261014 228522028 457044056