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56077648 = 24112910987
BaseRepresentation
bin1101010111101…
…0110101010000
310220112001001221
43111322311100
5103323441043
65321534424
71250436454
oct325726520
9126461057
1056077648
1129721a70
1216944414
13b805853
14763a664
154dca8ed
hex357ad50

56077648 has 40 divisors (see below), whose sum is σ = 122626080. Its totient is φ = 24608640.

The previous prime is 56077643. The next prime is 56077661. The reversal of 56077648 is 84677065.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56077643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390 + ... + 10597.

It is an arithmetic number, because the mean of its divisors is an integer number (3065652).

Almost surely, 256077648 is an apocalyptic number.

56077648 is a gapful number since it is divisible by the number (58) 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 56077648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61313040).

56077648 is an abundant number, since it is smaller than the sum of its proper divisors (66548432).

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

56077648 is a wasteful number, since it uses less digits than its factorization.

56077648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11035 (or 11029 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 56077648 is about 7488.5010516124. The cubic root of 56077648 is about 382.7629826041.

The spelling of 56077648 in words is "fifty-six million, seventy-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 5104 10987 21974 43948 87896 120857 175792 241714 318623 483428 637246 966856 1274492 1933712 2548984 3504853 5097968 7009706 14019412 28038824 56077648