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53124768 = 253361487
BaseRepresentation
bin1100101010100…
…1111010100000
310200222000111000
43022221322200
5102044443033
65134352000
71213360464
oct312517240
9120860430
1053124768
1127a95474
121595b600
13b010798
1470ac4a4
1549e5a13
hex32a9ea0

53124768 has 48 divisors (see below), whose sum is σ = 154949760. Its totient is φ = 17707968.

The previous prime is 53124763. The next prime is 53124791. The reversal of 53124768 is 86742135.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53124761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29880 + ... + 31607.

It is an arithmetic number, because the mean of its divisors is an integer number (3228120).

Almost surely, 253124768 is an apocalyptic number.

It is an amenable number.

53124768 is an abundant number, since it is smaller than the sum of its proper divisors (101824992).

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

53124768 is a wasteful number, since it uses less digits than its factorization.

53124768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61506 (or 61492 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 53124768 is about 7288.6739534705. The cubic root of 53124768 is about 375.9231018236.

The spelling of 53124768 in words is "fifty-three million, one hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 61487 122974 184461 245948 368922 491896 553383 737844 983792 1106766 1475688 1660149 1967584 2213532 2951376 3320298 4427064 5902752 6640596 8854128 13281192 17708256 26562384 53124768