Search a number
-
+
55911960 = 23325132919
BaseRepresentation
bin1101010101001…
…0011000011000
310220012121210100
43111102120120
5103303140320
65314215400
71246146426
oct325223030
9126177710
1055911960
1129619535
1216884560
13b778300
1475d6116
154d96790
hex3552618

55911960 has 144 divisors (see below), whose sum is σ = 196981200. Its totient is φ = 13747968.

The previous prime is 55911943. The next prime is 55911967. The reversal of 55911960 is 6911955.

55911960 is a `hidden beast` number, since 5 + 591 + 1 + 9 + 60 = 666.

It is a super-2 number, since 2×559119602 = 6252294542083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55911967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60381 + ... + 61299.

It is an arithmetic number, because the mean of its divisors is an integer number (1367925).

Almost surely, 255911960 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 55911960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98490600).

55911960 is an abundant number, since it is smaller than the sum of its proper divisors (141069240).

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

55911960 is a wasteful number, since it uses less digits than its factorization.

55911960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 55911960 is about 7477.4300397931. The cubic root of 55911960 is about 382.3856379882.

The spelling of 55911960 in words is "fifty-five million, nine hundred eleven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 169 180 195 234 260 312 338 360 390 468 507 520 585 676 780 845 919 936 1014 1170 1352 1521 1560 1690 1838 2028 2340 2535 2757 3042 3380 3676 4056 4595 4680 5070 5514 6084 6760 7352 7605 8271 9190 10140 11028 11947 12168 13785 15210 16542 18380 20280 22056 23894 27570 30420 33084 35841 36760 41355 47788 55140 59735 60840 66168 71682 82710 95576 107523 110280 119470 143364 155311 165420 179205 215046 238940 286728 310622 330840 358410 430092 465933 477880 537615 621244 716820 776555 860184 931866 1075230 1242488 1397799 1433640 1553110 1863732 2150460 2329665 2795598 3106220 3727464 4300920 4659330 5591196 6212440 6988995 9318660 11182392 13977990 18637320 27955980 55911960