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55659312 = 243467641
BaseRepresentation
bin1101010001010…
…0101100110000
310212201210020000
43110110230300
5103222044222
65304550000
71244045022
oct324245460
9125653200
1055659312
1129466735
1216782300
13b6ba307
14756c012
154d469ac
hex3514b30

55659312 has 100 divisors (see below), whose sum is σ = 163753656. Its totient is φ = 18247680.

The previous prime is 55659299. The next prime is 55659319. The reversal of 55659312 is 21395655.

55659312 is a `hidden beast` number, since 5 + 56 + 593 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55659319) 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 19 ways as a sum of consecutive naturals, for example, 86512 + ... + 87152.

Almost surely, 255659312 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 55659312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81876828).

55659312 is an abundant number, since it is smaller than the sum of its proper divisors (108094344).

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

55659312 is a wasteful number, since it uses less digits than its factorization.

55659312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 713 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 55659312 is about 7460.5168721745. The cubic root of 55659312 is about 381.8088094174.

The spelling of 55659312 in words is "fifty-five million, six hundred fifty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 268 324 402 432 536 603 641 648 804 1072 1206 1282 1296 1608 1809 1923 2412 2564 3216 3618 3846 4824 5128 5427 5769 7236 7692 9648 10256 10854 11538 14472 15384 17307 21708 23076 28944 30768 34614 42947 43416 46152 51921 69228 85894 86832 92304 103842 128841 138456 171788 207684 257682 276912 343576 386523 415368 515364 687152 773046 830736 1030728 1159569 1546092 2061456 2319138 3092184 3478707 4638276 6184368 6957414 9276552 13914828 18553104 27829656 55659312