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55761056 = 2513311431
BaseRepresentation
bin1101010010110…
…1100010100000
310212220221210022
43110231202200
5103233323211
65311053012
71244650451
oct324554240
9125827708
1055761056
112952611a
1216811168
13b724710
147597128
154d66bdb
hex352d8a0

55761056 has 48 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 25593600.

The previous prime is 55761053. The next prime is 55761059. The reversal of 55761056 is 65016755.

It is an interprime number because it is at equal distance from previous prime (55761053) and next prime (55761059).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55761053) 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 7 ways as a sum of consecutive naturals, for example, 129161 + ... + 129591.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 255761056 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 55761056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

55761056 is an abundant number, since it is smaller than the sum of its proper divisors (63118432).

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

55761056 is a wasteful number, since it uses less digits than its factorization.

55761056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 55761056 is about 7467.3325893521. The cubic root of 55761056 is about 382.0413138435.

The spelling of 55761056 in words is "fifty-five million, seven hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 311 416 431 622 862 1244 1724 2488 3448 4043 4976 5603 6896 8086 9952 11206 13792 16172 22412 32344 44824 64688 89648 129376 134041 179296 268082 536164 1072328 1742533 2144656 3485066 4289312 6970132 13940264 27880528 55761056