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55331536 = 2413299173
BaseRepresentation
bin1101001100010…
…0101011010000
310212010010121011
43103010223100
5103131102121
65253540304
71241211301
oct323045320
9125103534
1055331536
1129262447
1216644694
13b604070
1474c47a8
154cce7e1
hex34c4ad0

55331536 has 40 divisors (see below), whose sum is σ = 119445480. Its totient is φ = 24654336.

The previous prime is 55331533. The next prime is 55331543. The reversal of 55331536 is 63513355.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 54760000 = 756^2 + 7400^2 .

It is a super-2 number, since 2×553315362 = 6123157752238592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55331498 and 55331507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55331533) 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, 1446 + ... + 10618.

It is an arithmetic number, because the mean of its divisors is an integer number (2986137).

Almost surely, 255331536 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 55331536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59722740).

55331536 is an abundant number, since it is smaller than the sum of its proper divisors (64113944).

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

55331536 is a wasteful number, since it uses less digits than its factorization.

55331536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9223 (or 9217 counting only the distinct ones).

The product of its digits is 20250, while the sum is 31.

The square root of 55331536 is about 7438.5170565107. The cubic root of 55331536 is about 381.0578465177.

The spelling of 55331536 in words is "fifty-five million, three hundred thirty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 9173 18346 36692 73384 119249 146768 238498 266017 476996 532034 953992 1064068 1907984 2128136 3458221 4256272 6916442 13832884 27665768 55331536