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55591936 = 2102332
BaseRepresentation
bin1101010000010…
…0010000000000
310212121100210121
43110010100000
5103212420221
65303310024
71243344421
oct324042000
9125540717
1055591936
1129420054
121674b314
13b69574a
147551648
154d31a41
hex3504400

55591936 has 33 divisors (see below), whose sum is σ = 111608581. Its totient is φ = 27676672.

The previous prime is 55591933. The next prime is 55591937. The reversal of 55591936 is 63919555.

The square root of 55591936 is 7456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 44302336 = 3360^2 + 6656^2 .

It is a Duffinian number.

Its product of digits (182250) is a multiple of the sum of its prime factors (486).

It is a junction number, because it is equal to n+sod(n) for n = 55591892 and 55591901.

It is not an unprimeable number, because it can be changed into a prime (55591931) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 238476 + ... + 238708.

Almost surely, 255591936 is an apocalyptic number.

55591936 is the 7456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55591936

55591936 is an abundant number, since it is smaller than the sum of its proper divisors (56016645).

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

55591936 is an frugal number, since it uses more digits than its factorization.

55591936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 235 counting only the distinct ones).

The product of its digits is 182250, while the sum is 43.

The cubic root of 55591936 is about 381.6546864360.

The spelling of 55591936 in words is "fifty-five million, five hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 512 932 1024 1864 3728 7456 14912 29824 54289 59648 108578 119296 217156 238592 434312 868624 1737248 3474496 6948992 13897984 27795968 55591936