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55876590 = 23257112733
BaseRepresentation
bin1101010100100…
…1101111101110
310220010211021100
43111021233232
5103301022330
65313343530
71245641340
oct325115756
9126124240
1055876590
11295a4a00
1216867ba6
13b765193
1475c7290
154d8b060
hex3549bee

55876590 has 144 divisors (see below), whose sum is σ = 182748384. Its totient is φ = 11594880.

The previous prime is 55876567. The next prime is 55876619. The reversal of 55876590 is 9567855.

55876590 is a `hidden beast` number, since 5 + 58 + 7 + 6 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75864 + ... + 76596.

It is an arithmetic number, because the mean of its divisors is an integer number (1269086).

Almost surely, 255876590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55876590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91374192).

55876590 is an abundant number, since it is smaller than the sum of its proper divisors (126871794).

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

55876590 is a wasteful number, since it uses less digits than its factorization.

55876590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 55876590 is about 7475.0645482163. The cubic root of 55876590 is about 382.3049883800.

It can be divided in two parts, 558765 and 90, that added together give a palindrome (558855).

The spelling of 55876590 in words is "fifty-five million, eight hundred seventy-six thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 121 126 154 165 198 210 231 242 315 330 363 385 462 495 605 630 693 726 733 770 847 990 1089 1155 1210 1386 1466 1694 1815 2178 2199 2310 2541 3465 3630 3665 4235 4398 5082 5131 5445 6597 6930 7330 7623 8063 8470 10262 10890 10995 12705 13194 15246 15393 16126 21990 24189 25410 25655 30786 32985 38115 40315 46179 48378 51310 56441 65970 72567 76230 76965 80630 88693 92358 112882 120945 145134 153930 169323 177386 230895 241890 266079 282205 338646 362835 443465 461790 507969 532158 564410 620851 725670 798237 846615 886930 1015938 1241702 1330395 1596474 1693230 1862553 2539845 2660790 3104255 3725106 3991185 5079690 5587659 6208510 7982370 9312765 11175318 18625530 27938295 55876590