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457407412 = 227115925171
BaseRepresentation
bin11011010000110…
…111101110110100
31011212200201000021
4123100313232310
51414044014122
6113215454524
714222620210
oct3320675664
91155621007
10457407412
11215215a60
12109227444
13739c1497
1444a69940
152a2531c7
hex1b437bb4

457407412 has 48 divisors (see below), whose sum is σ = 1014935040. Its totient is φ = 175183200.

The previous prime is 457407361. The next prime is 457407413. The reversal of 457407412 is 214704754.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457407413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5587 + ... + 30757.

It is an arithmetic number, because the mean of its divisors is an integer number (21144480).

Almost surely, 2457407412 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 457407412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507467520).

457407412 is an abundant number, since it is smaller than the sum of its proper divisors (557527628).

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

457407412 is a wasteful number, since it uses less digits than its factorization.

457407412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25252 (or 25250 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 34.

The square root of 457407412 is about 21387.0851683908. The cubic root of 457407412 is about 770.4912882051.

The spelling of 457407412 in words is "four hundred fifty-seven million, four hundred seven thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 154 236 308 413 649 826 1298 1652 2596 4543 9086 18172 25171 50342 100684 176197 276881 352394 553762 704788 1107524 1485089 1938167 2970178 3876334 5940356 7752668 10395623 16335979 20791246 32671958 41582492 65343916 114351853 228703706 457407412