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55573952 = 267177297
BaseRepresentation
bin1101001111111…
…1110111000000
310212120110010112
43103333313000
5103211331302
65303050452
71243241120
oct323776700
9125513115
1055573952
1129408595
1216740a28
13b68a4c5
147548c80
154d2b552
hex34ffdc0

55573952 has 56 divisors (see below), whose sum is σ = 133465824. Its totient is φ = 22413312.

The previous prime is 55573927. The next prime is 55573961. The reversal of 55573952 is 25937555.

It is a tau number, because it is divible by the number of its divisors (56).

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, 3968 + ... + 11264.

Almost surely, 255573952 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 55573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66732912).

55573952 is an abundant number, since it is smaller than the sum of its proper divisors (77891872).

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

55573952 is a wasteful number, since it uses less digits than its factorization.

55573952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7333 (or 7323 counting only the distinct ones).

The product of its digits is 236250, while the sum is 41.

The square root of 55573952 is about 7454.7938938645. The cubic root of 55573952 is about 381.6135268804.

The spelling of 55573952 in words is "fifty-five million, five hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7297 7616 14594 29188 51079 58376 102158 116752 124049 204316 233504 248098 408632 467008 496196 817264 868343 992392 1634528 1736686 1984784 3269056 3473372 3969568 6946744 7939136 13893488 27786976 55573952