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55837296 = 2433294457
BaseRepresentation
bin1101010100000…
…0001001110000
310220001211101000
43111000021300
5103243243141
65312442000
71245415644
oct325001160
9126054330
1055837296
1129578429
1216849300
13b750328
1475b6c24
154d7e5b6
hex3540270

55837296 has 80 divisors (see below), whose sum is σ = 165837600. Its totient is φ = 17966592.

The previous prime is 55837291. The next prime is 55837319. The reversal of 55837296 is 69273855.

It is a happy number.

55837296 is a `hidden beast` number, since 558 + 3 + 7 + 2 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55837291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10300 + ... + 14756.

It is an arithmetic number, because the mean of its divisors is an integer number (2072970).

Almost surely, 255837296 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 55837296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82918800).

55837296 is an abundant number, since it is smaller than the sum of its proper divisors (110000304).

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

55837296 is a wasteful number, since it uses less digits than its factorization.

55837296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4491 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 55837296 is about 7472.4357474655. The cubic root of 55837296 is about 382.2153514679.

The spelling of 55837296 in words is "fifty-five million, eight hundred thirty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 4457 6264 8914 12528 13371 17828 26742 35656 40113 53484 71312 80226 106968 120339 129253 160452 213936 240678 258506 320904 387759 481356 517012 641808 775518 962712 1034024 1163277 1551036 1925424 2068048 2326554 3102072 3489831 4653108 6204144 6979662 9306216 13959324 18612432 27918648 55837296