Search a number
-
+
55706976 = 25321314879
BaseRepresentation
bin1101010010000…
…0010101100000
310212211012121100
43110200111200
5103230110401
65305554400
71244334003
oct324402540
9125735540
1055706976
1129499526
12167a5a00
13b705c10
14758153a
154d55b86
hex3520560

55706976 has 72 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 17139456.

The previous prime is 55706953. The next prime is 55706983. The reversal of 55706976 is 67960755.

It is a happy number.

55706976 is a `hidden beast` number, since 5 + 570 + 6 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3696 + ... + 11183.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 255706976 is an apocalyptic number.

It is an amenable number.

55706976 is an abundant number, since it is smaller than the sum of its proper divisors (114907104).

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

55706976 is a wasteful number, since it uses less digits than its factorization.

55706976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14908 (or 14897 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 55706976 is about 7463.7106053223. The cubic root of 55706976 is about 381.9177659851.

The spelling of 55706976 in words is "fifty-five million, seven hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 14879 29758 44637 59516 89274 119032 133911 178548 193427 238064 267822 357096 386854 476128 535644 580281 714192 773708 1071288 1160562 1428384 1547416 1740843 2142576 2321124 3094832 3481686 4285152 4642248 6189664 6963372 9284496 13926744 18568992 27853488 55706976