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55577256 = 2337378941
BaseRepresentation
bin1101010000000…
…0101010101000
310212120121122220
43110000222220
5103211433011
65303114040
71243253550
oct324005250
9125517586
1055577256
1129410019
1216742920
13b68bb67
14754a160
154d2c506
hex3500aa8

55577256 has 64 divisors (see below), whose sum is σ = 163102080. Its totient is φ = 15448320.

The previous prime is 55577227. The next prime is 55577273. The reversal of 55577256 is 65277555.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1746 + ... + 10686.

It is an arithmetic number, because the mean of its divisors is an integer number (2548470).

Almost surely, 255577256 is an apocalyptic number.

55577256 is a gapful number since it is divisible by the number (56) 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 55577256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81551040).

55577256 is an abundant number, since it is smaller than the sum of its proper divisors (107524824).

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

55577256 is a wasteful number, since it uses less digits than its factorization.

55577256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8994 (or 8990 counting only the distinct ones).

The product of its digits is 367500, while the sum is 42.

The square root of 55577256 is about 7455.0154929416. The cubic root of 55577256 is about 381.6210893328.

The spelling of 55577256 in words is "fifty-five million, five hundred seventy-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 8941 17882 26823 35764 53646 62587 71528 107292 125174 187761 214584 250348 330817 375522 500696 661634 751044 992451 1323268 1502088 1984902 2315719 2646536 3969804 4631438 6947157 7939608 9262876 13894314 18525752 27788628 55577256