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55597776 = 24313139641
BaseRepresentation
bin1101010000010…
…1101011010000
310212121122210220
43110011223100
5103213112101
65303353040
71243400433
oct324055320
9125548726
1055597776
1129424483
1216752780
13b6982c0
14755381a
154d33636
hex3505ad0

55597776 has 80 divisors (see below), whose sum is σ = 156031680. Its totient is φ = 16957440.

The previous prime is 55597741. The next prime is 55597777. The reversal of 55597776 is 67779555.

It is a super-2 number, since 2×555977762 = 6182225392292352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55597777) 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, 86416 + ... + 87056.

It is an arithmetic number, because the mean of its divisors is an integer number (1950396).

Almost surely, 255597776 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 55597776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78015840).

55597776 is an abundant number, since it is smaller than the sum of its proper divisors (100433904).

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

55597776 is a wasteful number, since it uses less digits than its factorization.

55597776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its digits is 2315250, while the sum is 51.

The square root of 55597776 is about 7456.3916206165. The cubic root of 55597776 is about 381.6680503966.

The spelling of 55597776 in words is "fifty-five million, five hundred ninety-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 139 156 208 278 312 417 556 624 641 834 1112 1282 1668 1807 1923 2224 2564 3336 3614 3846 5128 5421 6672 7228 7692 8333 10256 10842 14456 15384 16666 21684 24999 28912 30768 33332 43368 49998 66664 86736 89099 99996 133328 178198 199992 267297 356396 399984 534594 712792 1069188 1158287 1425584 2138376 2316574 3474861 4276752 4633148 6949722 9266296 13899444 18532592 27798888 55597776