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52135392 = 25319101283
BaseRepresentation
bin1100011011100…
…0010111100000
310122002202022110
43012320113200
5101321313032
65101235320
71202100141
oct306702740
9118082273
1052135392
112747a101
1215562b40
13aa5535a
146cd1ac8
15489c7cc
hex31b85e0

52135392 has 96 divisors (see below), whose sum is σ = 145998720. Its totient is φ = 16243200.

The previous prime is 52135337. The next prime is 52135423. The reversal of 52135392 is 29353125.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 184083 + ... + 184365.

It is an arithmetic number, because the mean of its divisors is an integer number (1520820).

Almost surely, 252135392 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 52135392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72999360).

52135392 is an abundant number, since it is smaller than the sum of its proper divisors (93863328).

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

52135392 is a wasteful number, since it uses less digits than its factorization.

52135392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 52135392 is about 7220.4841942906. The cubic root of 52135392 is about 373.5747786241.

The spelling of 52135392 in words is "fifty-two million, one hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 101 114 152 202 228 283 303 304 404 456 566 606 608 808 849 912 1132 1212 1616 1698 1824 1919 2264 2424 3232 3396 3838 4528 4848 5377 5757 6792 7676 9056 9696 10754 11514 13584 15352 16131 21508 23028 27168 28583 30704 32262 43016 46056 57166 61408 64524 85749 86032 92112 114332 129048 171498 172064 184224 228664 258096 342996 457328 516192 543077 685992 914656 1086154 1371984 1629231 2172308 2743968 3258462 4344616 6516924 8689232 13033848 17378464 26067696 52135392