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53005136 = 24191131543
BaseRepresentation
bin1100101000110…
…0101101010000
310200201221101012
43022030231100
5102032131021
65132030052
71212351632
oct312145520
9120657335
1053005136
1127a135a8
1215902328
13ac9b1b2
14707aa52
1549c035b
hex328cb50

53005136 has 40 divisors (see below), whose sum is σ = 109129920. Its totient is φ = 24869376.

The previous prime is 53005123. The next prime is 53005177. The reversal of 53005136 is 63150035.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 33581 + ... + 35123.

It is an arithmetic number, because the mean of its divisors is an integer number (2728248).

Almost surely, 253005136 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 53005136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54564960).

53005136 is an abundant number, since it is smaller than the sum of its proper divisors (56124784).

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

53005136 is a wasteful number, since it uses less digits than its factorization.

53005136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 53005136 is about 7280.4626226635. The cubic root of 53005136 is about 375.6407085419.

The spelling of 53005136 in words is "fifty-three million, five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 113 152 226 304 452 904 1543 1808 2147 3086 4294 6172 8588 12344 17176 24688 29317 34352 58634 117268 174359 234536 348718 469072 697436 1394872 2789744 3312821 6625642 13251284 26502568 53005136