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55457688 = 233112132113
BaseRepresentation
bin1101001110001…
…1011110011000
310212100112122110
43103203132120
5103144121223
65300352320
71242245136
oct323433630
9125315573
1055457688
1129339200
12166a56a0
13b649600
147518756
154d06d93
hex34e3798

55457688 has 144 divisors (see below), whose sum is σ = 166478760. Its totient is φ = 15375360.

The previous prime is 55457687. The next prime is 55457693. The reversal of 55457688 is 88675455.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55457681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 490720 + ... + 490832.

Almost surely, 255457688 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 55457688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83239380).

55457688 is an abundant number, since it is smaller than the sum of its proper divisors (111021072).

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

55457688 is a wasteful number, since it uses less digits than its factorization.

55457688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 142 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 48.

The square root of 55457688 is about 7446.9918759188. The cubic root of 55457688 is about 381.3472217164.

The spelling of 55457688 in words is "fifty-five million, four hundred fifty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 113 121 132 143 156 169 226 242 264 286 312 338 339 363 429 452 484 507 572 676 678 726 858 904 968 1014 1144 1243 1352 1356 1452 1469 1573 1716 1859 2028 2486 2712 2904 2938 3146 3432 3718 3729 4056 4407 4719 4972 5577 5876 6292 7436 7458 8814 9438 9944 11154 11752 12584 13673 14872 14916 16159 17628 18876 19097 20449 22308 27346 29832 32318 35256 37752 38194 40898 41019 44616 48477 54692 57291 61347 64636 76388 81796 82038 96954 109384 114582 122694 129272 152776 163592 164076 177749 193908 210067 229164 245388 328152 355498 387816 420134 458328 490776 533247 630201 710996 840268 1066494 1260402 1421992 1680536 2132988 2310737 2520804 4265976 4621474 5041608 6932211 9242948 13864422 18485896 27728844 55457688