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55457264 = 2417316577
BaseRepresentation
bin1101001110001…
…1010111110000
310212100112001202
43103203113300
5103144113024
65300350332
71242243662
oct323432760
9125315052
1055457264
1129338955
12166a53a8
13b649365
147518532
154d06bae
hex34e35f0

55457264 has 40 divisors (see below), whose sum is σ = 117456768. Its totient is φ = 25251840.

The previous prime is 55457249. The next prime is 55457279. The reversal of 55457264 is 46275455.

It is an interprime number because it is at equal distance from previous prime (55457249) and next prime (55457279).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5144 + ... + 11720.

Almost surely, 255457264 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 55457264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58728384).

55457264 is an abundant number, since it is smaller than the sum of its proper divisors (61999504).

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

55457264 is a wasteful number, since it uses less digits than its factorization.

55457264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6633 (or 6627 counting only the distinct ones).

The product of its digits is 168000, while the sum is 38.

The square root of 55457264 is about 7446.9634079939. The cubic root of 55457264 is about 381.3462498545.

The spelling of 55457264 in words is "fifty-five million, four hundred fifty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 6577 8432 13154 26308 52616 105232 111809 203887 223618 407774 447236 815548 894472 1631096 1788944 3262192 3466079 6932158 13864316 27728632 55457264