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53139456 = 21133312
BaseRepresentation
bin1100101010110…
…1100000000000
310200222202122000
43022231200000
5102100430311
65134544000
71213451346
oct312554000
9120882560
1053139456
1127aa5507
1215968000
13b017386
1470b3996
1549ea056
hex32ad800

53139456 has 144 divisors (see below), whose sum is σ = 162653400. Its totient is φ = 17141760.

The previous prime is 53139439. The next prime is 53139481. The reversal of 53139456 is 65493135.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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).

Its product of digits (48600) is a multiple of the sum of its prime divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53139456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1714161 + ... + 1714191.

Almost surely, 253139456 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 53139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81326700).

53139456 is an abundant number, since it is smaller than the sum of its proper divisors (109513944).

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

53139456 is an equidigital number, since it uses as much as digits as its factorization.

53139456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 36 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 53139456 is about 7289.6814745227. The cubic root of 53139456 is about 375.9577438555.

Multiplying 53139456 by its product of digits (48600), we get a square (2582577561600 = 16070402).

The spelling of 53139456 in words is "fifty-three million, one hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 512 558 576 744 768 837 864 961 992 1024 1116 1152 1488 1536 1674 1728 1922 1984 2048 2232 2304 2883 2976 3072 3348 3456 3844 3968 4464 4608 5766 5952 6144 6696 6912 7688 7936 8649 8928 9216 11532 11904 13392 13824 15376 15872 17298 17856 18432 23064 23808 25947 26784 27648 30752 31744 34596 35712 46128 47616 51894 53568 55296 61504 63488 69192 71424 92256 95232 103788 107136 123008 138384 142848 184512 190464 207576 214272 246016 276768 285696 369024 415152 428544 492032 553536 571392 738048 830304 857088 984064 1107072 1476096 1660608 1714176 1968128 2214144 2952192 3321216 4428288 5904384 6642432 8856576 13284864 17713152 26569728 53139456