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457729092 = 223212714697
BaseRepresentation
bin11011010010000…
…110010001000100
31011220022001021100
4123102012101010
51414134312332
6113230420100
714225430102
oct3322062104
91156261240
10457729092
11215415707
12109361630
1373aa4a22
1444b10c72
152a2b867c
hex1b486444

457729092 has 18 divisors (see below), whose sum is σ = 1157037518. Its totient is φ = 152576352.

The previous prime is 457729091. The next prime is 457729117. The reversal of 457729092 is 290927754.

It can be written as a sum of positive squares in only one way, i.e., 392990976 + 64738116 = 19824^2 + 8046^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (457729091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6357313 + ... + 6357384.

Almost surely, 2457729092 is an apocalyptic number.

It is an amenable number.

457729092 is an abundant number, since it is smaller than the sum of its proper divisors (699308426).

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

457729092 is a wasteful number, since it uses less digits than its factorization.

457729092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12714707 (or 12714702 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 457729092 is about 21394.6042730404. The cubic root of 457729092 is about 770.6718665048.

The spelling of 457729092 in words is "four hundred fifty-seven million, seven hundred twenty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 12714697 25429394 38144091 50858788 76288182 114432273 152576364 228864546 457729092