Search a number
-
+
55507056 = 24311219503
BaseRepresentation
bin1101001110111…
…1100001110000
310212110001100220
43103233201300
5103202211211
65301413040
71242542103
oct323574160
9125401326
1055507056
1129372300
121670a180
13b665c17
14752c73a
154d16806
hex34ef870

55507056 has 120 divisors (see below), whose sum is σ = 166239360. Its totient is φ = 15903360.

The previous prime is 55507031. The next prime is 55507063. The reversal of 55507056 is 65070555.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 110101 + ... + 110603.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 255507056 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 55507056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83119680).

55507056 is an abundant number, since it is smaller than the sum of its proper divisors (110732304).

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

55507056 is a wasteful number, since it uses less digits than its factorization.

55507056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 33.

The square root of 55507056 is about 7450.3057655374. The cubic root of 55507056 is about 381.4603455935.

The spelling of 55507056 in words is "fifty-five million, five hundred seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 121 132 152 176 209 228 242 264 304 363 418 456 484 503 528 627 726 836 912 968 1006 1254 1452 1509 1672 1936 2012 2299 2508 2904 3018 3344 4024 4598 5016 5533 5808 6036 6897 8048 9196 9557 10032 11066 12072 13794 16599 18392 19114 22132 24144 27588 28671 33198 36784 38228 44264 55176 57342 60863 66396 76456 88528 105127 110352 114684 121726 132792 152912 182589 210254 229368 243452 265584 315381 365178 420508 458736 486904 630762 730356 841016 973808 1156397 1261524 1460712 1682032 2312794 2523048 2921424 3469191 4625588 5046096 6938382 9251176 13876764 18502352 27753528 55507056