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53563896 = 2333437379
BaseRepresentation
bin1100110001010…
…1000111111000
310201210022212000
43030111013320
5102203021041
65152021000
71220166651
oct314250770
9121708760
1053563896
1128265391
1215b31760
13b135619
147184528
154a80bb6
hex33151f8

53563896 has 128 divisors (see below), whose sum is σ = 156288000. Its totient is φ = 16982784.

The previous prime is 53563871. The next prime is 53563903. The reversal of 53563896 is 69836535.

53563896 is a `hidden beast` number, since 5 + 3 + 5 + 638 + 9 + 6 = 666.

53563896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (583200) is a multiple of the sum of its prime divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677985 + ... + 678063.

It is an arithmetic number, because the mean of its divisors is an integer number (1221000).

Almost surely, 253563896 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 53563896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78144000).

53563896 is an abundant number, since it is smaller than the sum of its proper divisors (102724104).

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

53563896 is a wasteful number, since it uses less digits than its factorization.

53563896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 53563896 is about 7318.7359564340. The cubic root of 53563896 is about 376.9560512294.

The spelling of 53563896 in words is "fifty-three million, five hundred sixty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 73 79 86 108 129 146 158 172 216 219 237 258 292 316 344 387 438 474 516 584 632 657 711 774 876 948 1032 1161 1314 1422 1548 1752 1896 1971 2133 2322 2628 2844 3096 3139 3397 3942 4266 4644 5256 5688 5767 6278 6794 7884 8532 9288 9417 10191 11534 12556 13588 15768 17064 17301 18834 20382 23068 25112 27176 28251 30573 34602 37668 40764 46136 51903 56502 61146 69204 75336 81528 84753 91719 103806 113004 122292 138408 155709 169506 183438 207612 226008 244584 247981 311418 339012 366876 415224 495962 622836 678024 733752 743943 991924 1245672 1487886 1983848 2231829 2975772 4463658 5951544 6695487 8927316 13390974 17854632 26781948 53563896