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55671936 = 2731131283
BaseRepresentation
bin1101010001011…
…1110010000000
310212202102112120
43110113302000
5103223000221
65305124240
71244126565
oct324276200
9125672476
1055671936
1129475171
1216789680
13b6c2c98
14757286c
154d4a5c6
hex3517c80

55671936 has 64 divisors (see below), whose sum is σ = 149303520. Its totient is φ = 18378752.

The previous prime is 55671911. The next prime is 55671947. The reversal of 55671936 is 63917655.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 42751 + ... + 44033.

Almost surely, 255671936 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 55671936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74651760).

55671936 is an abundant number, since it is smaller than the sum of its proper divisors (93631584).

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

55671936 is a wasteful number, since it uses less digits than its factorization.

55671936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1401 counting only the distinct ones).

The product of its digits is 170100, while the sum is 42.

The square root of 55671936 is about 7461.3628781879. The cubic root of 55671936 is about 381.8376730516.

It can be divided in two parts, 5567 and 1936, that added together give a triangular number (7503 = T122).

The spelling of 55671936 in words is "fifty-five million, six hundred seventy-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 678 904 1283 1356 1808 2566 2712 3616 3849 5132 5424 7232 7698 10264 10848 14464 15396 20528 21696 30792 41056 43392 61584 82112 123168 144979 164224 246336 289958 434937 492672 579916 869874 1159832 1739748 2319664 3479496 4639328 6958992 9278656 13917984 18557312 27835968 55671936