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53140608 = 2732163283
BaseRepresentation
bin1100101010110…
…1110010000000
310200222211012200
43022231302000
5102100444413
65134553200
71213454613
oct312556200
9120884180
1053140608
1127aa6364
1215968800
13b017a61
1470b417a
1549ea573
hex32adc80

53140608 has 96 divisors (see below), whose sum is σ = 154399440. Its totient is φ = 17542656.

The previous prime is 53140579. The next prime is 53140613. The reversal of 53140608 is 80604135.

53140608 is a `hidden beast` number, since 53 + 1 + 4 + 0 + 608 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187635 + ... + 187917.

Almost surely, 253140608 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 53140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77199720).

53140608 is an abundant number, since it is smaller than the sum of its proper divisors (101258832).

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

53140608 is a wasteful number, since it uses less digits than its factorization.

53140608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 53140608 is about 7289.7604898927. The cubic root of 53140608 is about 375.9604606076.

The spelling of 53140608 in words is "fifty-three million, one hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 192 283 288 326 384 489 566 576 652 849 978 1132 1152 1304 1467 1698 1956 2264 2547 2608 2934 3396 3912 4528 5094 5216 5868 6792 7824 9056 10188 10432 11736 13584 15648 18112 20376 20864 23472 27168 31296 36224 40752 46129 46944 54336 62592 81504 92258 93888 108672 138387 163008 184516 187776 276774 326016 369032 415161 553548 738064 830322 1107096 1476128 1660644 2214192 2952256 3321288 4428384 5904512 6642576 8856768 13285152 17713536 26570304 53140608