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55664532 = 223271143467
BaseRepresentation
bin1101010001010…
…1111110010100
310212202001101100
43110111332110
5103222231112
65305030100
71244066160
oct324257624
9125661340
1055664532
112946a650
1216785330
13b6bc7c1
14756dca0
154d482dc
hex3515f94

55664532 has 144 divisors (see below), whose sum is σ = 179891712. Its totient is φ = 14091840.

The previous prime is 55664527. The next prime is 55664533. The reversal of 55664532 is 23546655.

It is a happy number.

55664532 is a `hidden beast` number, since 5 + 5 + 6 + 645 + 3 + 2 = 666.

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 (55664533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118963 + ... + 119429.

It is an arithmetic number, because the mean of its divisors is an integer number (1249248).

Almost surely, 255664532 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 55664532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89945856).

55664532 is an abundant number, since it is smaller than the sum of its proper divisors (124227180).

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

55664532 is a wasteful number, since it uses less digits than its factorization.

55664532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 533 counting only the distinct ones).

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

The square root of 55664532 is about 7460.8667056851. The cubic root of 55664532 is about 381.8207450044.

The spelling of 55664532 in words is "fifty-five million, six hundred sixty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 43 44 63 66 77 84 86 99 126 129 132 154 172 198 231 252 258 301 308 387 396 462 467 473 516 602 693 774 903 924 934 946 1204 1386 1401 1419 1548 1806 1868 1892 2709 2772 2802 2838 3269 3311 3612 4203 4257 5137 5418 5604 5676 6538 6622 8406 8514 9807 9933 10274 10836 13076 13244 15411 16812 17028 19614 19866 20081 20548 29421 29799 30822 35959 39228 39732 40162 46233 58842 59598 60243 61644 71918 80324 92466 107877 117684 119196 120486 140567 143836 180729 184932 215754 220891 240972 281134 323631 361458 421701 431508 441782 562268 647262 662673 722916 843402 883564 1265103 1294524 1325346 1546237 1686804 1988019 2530206 2650692 3092474 3976038 4638711 5060412 6184948 7952076 9277422 13916133 18554844 27832266 55664532