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53879136 = 25319109271
BaseRepresentation
bin1100110110001…
…0000101100000
310202101100021120
43031202011200
5102243113021
65202452240
71222652013
oct315420540
9122340246
1053879136
1128460213
1216064080
13b215c5c
14722737a
154ae42c6
hex3362160

53879136 has 96 divisors (see below), whose sum is σ = 150796800. Its totient is φ = 16796160.

The previous prime is 53879113. The next prime is 53879143. The reversal of 53879136 is 63197835.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×538791362 = 5805922592212992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198681 + ... + 198951.

It is an arithmetic number, because the mean of its divisors is an integer number (1570800).

Almost surely, 253879136 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 53879136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75398400).

53879136 is an abundant number, since it is smaller than the sum of its proper divisors (96917664).

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

53879136 is a wasteful number, since it uses less digits than its factorization.

53879136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 53879136 is about 7340.2408679825. The cubic root of 53879136 is about 377.6941059856.

The spelling of 53879136 in words is "fifty-three million, eight hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 109 114 152 218 228 271 304 327 436 456 542 608 654 813 872 912 1084 1308 1626 1744 1824 2071 2168 2616 3252 3488 4142 4336 5149 5232 6213 6504 8284 8672 10298 10464 12426 13008 15447 16568 20596 24852 26016 29539 30894 33136 41192 49704 59078 61788 66272 82384 88617 99408 118156 123576 164768 177234 198816 236312 247152 354468 472624 494304 561241 708936 945248 1122482 1417872 1683723 2244964 2835744 3367446 4489928 6734892 8979856 13469784 17959712 26939568 53879136