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52155936 = 2532741631
BaseRepresentation
bin1100011011110…
…1011000100000
310122010210111100
43012331120200
5101322442221
65101514400
71202214060
oct306753040
9118123440
1052155936
1127493588
1215572a00
13aa61801
146cd93a0
1548a3926
hex31bd620

52155936 has 144 divisors (see below), whose sum is σ = 173916288. Its totient is φ = 14515200.

The previous prime is 52155913. The next prime is 52155959. The reversal of 52155936 is 63955125.

52155936 = T48 + T49 + ... + T678.

52155936 is a `hidden beast` number, since 52 + 15 + 593 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (52155913) and next prime (52155959).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 52155936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82341 + ... + 82971.

It is an arithmetic number, because the mean of its divisors is an integer number (1207752).

Almost surely, 252155936 is an apocalyptic number.

52155936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52155936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86958144).

52155936 is an abundant number, since it is smaller than the sum of its proper divisors (121760352).

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

52155936 is a wasteful number, since it uses less digits than its factorization.

52155936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 684 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 52155936 is about 7221.9066734485. The cubic root of 52155936 is about 373.6238413439.

The spelling of 52155936 in words is "fifty-two million, one hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 631 656 672 738 861 984 1008 1148 1262 1312 1476 1722 1893 1968 2016 2296 2524 2583 2952 3444 3786 3936 4417 4592 5048 5166 5679 5904 6888 7572 8834 9184 10096 10332 11358 11808 13251 13776 15144 17668 20192 20664 22716 25871 26502 27552 30288 35336 39753 41328 45432 51742 53004 60576 70672 77613 79506 82656 90864 103484 106008 141344 155226 159012 181097 181728 206968 212016 232839 310452 318024 362194 413936 424032 465678 543291 620904 636048 724388 827872 931356 1086582 1241808 1272096 1448776 1629873 1862712 2173164 2483616 2897552 3259746 3725424 4346328 5795104 6519492 7450848 8692656 13038984 17385312 26077968 52155936