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55466352 = 2432675749
BaseRepresentation
bin1101001110010…
…1100101110000
310212100222112100
43103211211300
5103144410402
65300500400
71242312324
oct323454560
9125328470
1055466352
1129344767
12166aa700
13b650536
14751b984
154d0971c
hex34e5970

55466352 has 60 divisors (see below), whose sum is σ = 157573000. Its totient is φ = 18209664.

The previous prime is 55466303. The next prime is 55466353. The reversal of 55466352 is 25366455.

It is a happy number.

55466352 is a `hidden beast` number, since 5 + 546 + 63 + 52 = 666.

55466352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55466353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6774 + ... + 12522.

Almost surely, 255466352 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 55466352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78786500).

55466352 is an abundant number, since it is smaller than the sum of its proper divisors (102106648).

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

55466352 is a wasteful number, since it uses less digits than its factorization.

55466352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5821 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 55466352 is about 7447.5735645914. The cubic root of 55466352 is about 381.3670796201.

The spelling of 55466352 in words is "fifty-five million, four hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 5749 9648 11498 17247 22996 34494 45992 51741 68988 91984 103482 137976 206964 275952 385183 413928 770366 827856 1155549 1540732 2311098 3081464 3466647 4622196 6162928 6933294 9244392 13866588 18488784 27733176 55466352