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54025888 = 257437179
BaseRepresentation
bin1100111000010…
…1111010100000
310202122210120211
43032011322200
5102312312023
65205543504
71224132610
oct316057240
9122583524
1054025888
11285504a4
1216114b94
13b2679a7
147264a40
154b22a0d
hex3385ea0

54025888 has 96 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 22014720.

The previous prime is 54025879. The next prime is 54025891. The reversal of 54025888 is 88852045.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54025888.

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, 683833 + ... + 683911.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 254025888 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 54025888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

54025888 is an abundant number, since it is smaller than the sum of its proper divisors (73707872).

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

54025888 is a wasteful number, since it uses less digits than its factorization.

54025888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The square root of 54025888 is about 7350.2304725770. The cubic root of 54025888 is about 378.0367068671.

The spelling of 54025888 in words is "fifty-four million, twenty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 71 79 86 112 142 158 172 224 284 301 316 344 497 553 568 602 632 688 994 1106 1136 1204 1264 1376 1988 2212 2272 2408 2528 3053 3397 3976 4424 4816 5609 6106 6794 7952 8848 9632 11218 12212 13588 15904 17696 21371 22436 23779 24424 27176 39263 42742 44872 47558 48848 54352 78526 85484 89744 95116 97696 108704 157052 170968 179488 190232 241187 314104 341936 380464 482374 628208 683872 760928 964748 1256416 1688309 1929496 3376618 3858992 6753236 7717984 13506472 27012944 54025888