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53137296 = 243579173
BaseRepresentation
bin1100101010110…
…0111110010000
310200222122200000
43022230332100
5102100343141
65134530000
71213442142
oct312547620
9120878600
1053137296
1127aa3923
1215966900
13b0163b4
1470b2c92
1549e95b6
hex32acf90

53137296 has 120 divisors (see below), whose sum is σ = 157073280. Its totient is φ = 17387136.

The previous prime is 53137289. The next prime is 53137297. The reversal of 53137296 is 69273135.

53137296 is a `hidden beast` number, since 531 + 37 + 2 + 96 = 666.

53137296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 53137296.

It is not an unprimeable number, because it can be changed into a prime (53137297) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 307066 + ... + 307238.

It is an arithmetic number, because the mean of its divisors is an integer number (1308944).

Almost surely, 253137296 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 53137296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78536640).

53137296 is an abundant number, since it is smaller than the sum of its proper divisors (103935984).

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

53137296 is a wasteful number, since it uses less digits than its factorization.

53137296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 53137296 is about 7289.5333183956. The cubic root of 53137296 is about 375.9526498394.

The spelling of 53137296 in words is "fifty-three million, one hundred thirty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 173 216 237 243 316 324 346 432 474 486 519 632 648 692 711 948 972 1038 1264 1296 1384 1422 1557 1896 1944 2076 2133 2768 2844 3114 3792 3888 4152 4266 4671 5688 6228 6399 8304 8532 9342 11376 12456 12798 13667 14013 17064 18684 19197 24912 25596 27334 28026 34128 37368 38394 41001 42039 51192 54668 56052 74736 76788 82002 84078 102384 109336 112104 123003 153576 164004 168156 218672 224208 246006 307152 328008 336312 369009 492012 656016 672624 738018 984024 1107027 1476036 1968048 2214054 2952072 3321081 4428108 5904144 6642162 8856216 13284324 17712432 26568648 53137296