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55615056 = 24371031607
BaseRepresentation
bin1101010000100…
…1111001010000
310212122112111220
43110021321100
5103214140211
65304005040
71243502010
oct324117120
9125575456
1055615056
1129436462
1216760780
13b6a3123
147559c40
154d38806
hex3509e50

55615056 has 80 divisors (see below), whose sum is σ = 165894144. Its totient is φ = 15725952.

The previous prime is 55615051. The next prime is 55615067. The reversal of 55615056 is 65051655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55615051) 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 15 ways as a sum of consecutive naturals, for example, 33805 + ... + 35411.

Almost surely, 255615056 is an apocalyptic number.

55615056 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 55615056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82947072).

55615056 is an abundant number, since it is smaller than the sum of its proper divisors (110279088).

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

55615056 is a wasteful number, since it uses less digits than its factorization.

55615056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 55615056 is about 7457.5502680170. The cubic root of 55615056 is about 381.7075875941.

The spelling of 55615056 in words is "fifty-five million, six hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 103 112 168 206 309 336 412 618 721 824 1236 1442 1607 1648 2163 2472 2884 3214 4326 4821 4944 5768 6428 8652 9642 11249 11536 12856 17304 19284 22498 25712 33747 34608 38568 44996 67494 77136 89992 134988 165521 179984 269976 331042 496563 539952 662084 993126 1158647 1324168 1986252 2317294 2648336 3475941 3972504 4634588 6951882 7945008 9269176 13903764 18538352 27807528 55615056