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55091712 = 293133189
BaseRepresentation
bin1101001000101…
…0001000000000
310211122221121210
43102022020000
5103100413322
65244450120
71236162144
oct322121000
9124587553
1055091712
1129109245
1216549940
13b54bb60
147461224
154c8370c
hex348a200

55091712 has 160 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 16220160.

The previous prime is 55091689. The next prime is 55091737. The reversal of 55091712 is 21719055.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55091712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618964 + ... + 619052.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 255091712 is an apocalyptic number.

55091712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55091712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

55091712 is an abundant number, since it is smaller than the sum of its proper divisors (109897728).

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

55091712 is a wasteful number, since it uses less digits than its factorization.

55091712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 55091712 is about 7422.3791334046. The cubic root of 55091712 is about 380.5065083155.

The spelling of 55091712 in words is "fifty-five million, ninety-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 89 93 96 104 124 128 156 178 186 192 208 248 256 267 312 356 372 384 403 416 496 512 534 624 712 744 768 806 832 992 1068 1157 1209 1248 1424 1488 1536 1612 1664 1984 2136 2314 2418 2496 2759 2848 2976 3224 3328 3471 3968 4272 4628 4836 4992 5518 5696 5952 6448 6656 6942 7936 8277 8544 9256 9672 9984 11036 11392 11904 12896 13884 15872 16554 17088 18512 19344 19968 22072 22784 23808 25792 27768 33108 34176 35867 37024 38688 44144 45568 47616 51584 55536 66216 68352 71734 74048 77376 88288 103168 107601 111072 132432 136704 143468 148096 154752 176576 206336 215202 222144 264864 286936 296192 309504 353152 430404 444288 529728 573872 592384 619008 706304 860808 888576 1059456 1147744 1412608 1721616 1777152 2118912 2295488 3443232 4237824 4590976 6886464 9181952 13772928 18363904 27545856 55091712