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55008756 = 223211314481
BaseRepresentation
bin1101000111010…
…1110111110100
310211111201211100
43101311313310
5103040240011
65243010100
71235365245
oct321656764
9124451740
1055008756
1129061990
1216509930
13b52017a
14743cccc
154c68d56
hex3475df4

55008756 has 72 divisors (see below), whose sum is σ = 156619008. Its totient is φ = 16128000.

The previous prime is 55008749. The next prime is 55008761. The reversal of 55008756 is 65780055.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55008756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10036 + ... + 14516.

It is an arithmetic number, because the mean of its divisors is an integer number (2175264).

Almost surely, 255008756 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 55008756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78309504).

55008756 is an abundant number, since it is smaller than the sum of its proper divisors (101610252).

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

55008756 is a wasteful number, since it uses less digits than its factorization.

55008756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 55008756 is about 7416.7887930020. The cubic root of 55008756 is about 380.3154260064.

The spelling of 55008756 in words is "fifty-five million, eight thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 4481 6138 8962 12276 13443 17924 26886 40329 49291 53772 80658 98582 138911 147873 161316 197164 277822 295746 416733 443619 555644 591492 833466 887238 1250199 1528021 1666932 1774476 2500398 3056042 4584063 5000796 6112084 9168126 13752189 18336252 27504378 55008756