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52257960 = 233451272
BaseRepresentation
bin1100011101011…
…0010010101000
310122022222110000
43013112102220
5101334223320
65104023000
71203120366
oct307262250
9118288400
1052257960
11275531a7
1215601a60
13aa99091
146d24636
1548c3c90
hex31d64a8

52257960 has 120 divisors (see below), whose sum is σ = 177038730. Its totient is φ = 13825728.

The previous prime is 52257941. The next prime is 52257967. The reversal of 52257960 is 6975225.

52257960 is a `hidden beast` number, since 5 + 22 + 579 + 60 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47032164 + 5225796 = 6858^2 + 2286^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52257967) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 411417 + ... + 411543.

Almost surely, 252257960 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 52257960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88519365).

52257960 is an abundant number, since it is smaller than the sum of its proper divisors (124780770).

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

52257960 is a wasteful number, since it uses less digits than its factorization.

52257960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 52257960 is about 7228.9667311449. The cubic root of 52257960 is about 373.8673020993.

The spelling of 52257960 in words is "fifty-two million, two hundred fifty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 127 135 162 180 216 254 270 324 360 381 405 508 540 635 648 762 810 1016 1080 1143 1270 1524 1620 1905 2286 2540 3048 3240 3429 3810 4572 5080 5715 6858 7620 9144 10287 11430 13716 15240 16129 17145 20574 22860 27432 32258 34290 41148 45720 48387 51435 64516 68580 80645 82296 96774 102870 129032 137160 145161 161290 193548 205740 241935 290322 322580 387096 411480 435483 483870 580644 645160 725805 870966 967740 1161288 1306449 1451610 1741932 1935480 2177415 2612898 2903220 3483864 4354830 5225796 5806440 6532245 8709660 10451592 13064490 17419320 26128980 52257960