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55889680 = 24571143211
BaseRepresentation
bin1101010100110…
…0111100010000
310220011111020011
43111030330100
5103301432210
65313524304
71246024450
oct325147420
9126144204
1055889680
1129603820
1216873694
13b76b122
1475cbd60
154d8ed8a
hex354cf10

55889680 has 160 divisors (see below), whose sum is σ = 166560768. Its totient is φ = 16934400.

The previous prime is 55889677. The next prime is 55889689. The reversal of 55889680 is 8698855.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55889689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264775 + ... + 264985.

Almost surely, 255889680 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 55889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83280384).

55889680 is an abundant number, since it is smaller than the sum of its proper divisors (110671088).

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

55889680 is a wasteful number, since it uses less digits than its factorization.

55889680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 49.

The square root of 55889680 is about 7475.9400746662. The cubic root of 55889680 is about 382.3348397696.

The spelling of 55889680 in words is "fifty-five million, eight hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 43 44 55 56 70 77 80 86 88 110 112 140 154 172 176 211 215 220 280 301 308 344 385 422 430 440 473 560 602 616 688 770 844 860 880 946 1055 1204 1232 1477 1505 1540 1688 1720 1892 2110 2321 2365 2408 2954 3010 3080 3311 3376 3440 3784 4220 4642 4730 4816 5908 6020 6160 6622 7385 7568 8440 9073 9284 9460 11605 11816 12040 13244 14770 16247 16555 16880 18146 18568 18920 23210 23632 24080 26488 29540 32494 33110 36292 37136 37840 45365 46420 52976 59080 63511 64988 66220 72584 81235 90730 92840 99803 118160 127022 129976 132440 145168 162470 181460 185680 199606 254044 259952 264880 317555 324940 362920 399212 499015 508088 635110 649880 698621 725840 798424 998030 1016176 1270220 1299760 1397242 1596848 1996060 2540440 2794484 3493105 3992120 5080880 5588968 6986210 7984240 11177936 13972420 27944840 55889680