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55706532 = 22372211449
BaseRepresentation
bin1101010010000…
…0001110100100
310212211011222220
43110200032210
5103230102112
65305552340
71244332500
oct324401644
9125734886
1055706532
1129499162
12167a56b0
13b70595b
147581300
154d5598c
hex35203a4

55706532 has 72 divisors (see below), whose sum is σ = 152258400. Its totient is φ = 15805440.

The previous prime is 55706527. The next prime is 55706533. The reversal of 55706532 is 23560755.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 55706493 and 55706502.

It is not an unprimeable number, because it can be changed into a prime (55706533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123844 + ... + 124292.

It is an arithmetic number, because the mean of its divisors is an integer number (2114700).

Almost surely, 255706532 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 55706532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76129200).

55706532 is an abundant number, since it is smaller than the sum of its proper divisors (96551868).

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

55706532 is a wasteful number, since it uses less digits than its factorization.

55706532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 55706532 is about 7463.6808613445. The cubic root of 55706532 is about 381.9167513190.

The spelling of 55706532 in words is "fifty-five million, seven hundred six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 211 294 422 449 588 633 844 898 1266 1347 1477 1796 2532 2694 2954 3143 4431 5388 5908 6286 8862 9429 10339 12572 17724 18858 20678 22001 31017 37716 41356 44002 62034 66003 88004 94739 124068 132006 189478 264012 284217 378956 568434 663173 1136868 1326346 1989519 2652692 3979038 4642211 7958076 9284422 13926633 18568844 27853266 55706532