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55765380 = 223511194447
BaseRepresentation
bin1101010010111…
…0100110000100
310212221011201110
43110232212010
5103233443010
65311125020
71244666166
oct324564604
9125834643
1055765380
11295293a0
1216813770
13b726688
147598936
154d68120
hex352e984

55765380 has 96 divisors (see below), whose sum is σ = 179343360. Its totient is φ = 12804480.

The previous prime is 55765343. The next prime is 55765403. The reversal of 55765380 is 8356755.

It is a super-3 number, since 3×557653803 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10317 + ... + 14763.

It is an arithmetic number, because the mean of its divisors is an integer number (1868160).

Almost surely, 255765380 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 55765380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89671680).

55765380 is an abundant number, since it is smaller than the sum of its proper divisors (123577980).

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

55765380 is a wasteful number, since it uses less digits than its factorization.

55765380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 55765380 is about 7467.6221114890. The cubic root of 55765380 is about 382.0511887398.

The spelling of 55765380 in words is "fifty-five million, seven hundred sixty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 4447 6270 8894 12540 13341 17788 22235 26682 44470 48917 53364 66705 84493 88940 97834 133410 146751 168986 195668 244585 253479 266820 293502 337972 422465 489170 506958 587004 733755 844930 929423 978340 1013916 1267395 1467510 1689860 1858846 2534790 2788269 2935020 3717692 4647115 5069580 5576538 9294230 11153076 13941345 18588460 27882690 55765380