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53013972 = 223112291259
BaseRepresentation
bin1100101000111…
…0110111010100
310200202101111110
43022032313110
5102032421342
65132135020
71212416454
oct312166724
9120671443
1053013972
1127a1a200
1215907470
13aca221b
14707dd64
1549c2c9c
hex328edd4

53013972 has 72 divisors (see below), whose sum is σ = 140767200. Its totient is φ = 15498560.

The previous prime is 53013967. The next prime is 53014019. The reversal of 53013972 is 27931035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41479 + ... + 42737.

It is an arithmetic number, because the mean of its divisors is an integer number (1955100).

Almost surely, 253013972 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 53013972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70383600).

53013972 is an abundant number, since it is smaller than the sum of its proper divisors (87753228).

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

53013972 is a wasteful number, since it uses less digits than its factorization.

53013972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 53013972 is about 7281.0694269455. The cubic root of 53013972 is about 375.6615805877.

The spelling of 53013972 in words is "fifty-three million, thirteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 319 348 363 484 638 726 957 1259 1276 1452 1914 2518 3509 3777 3828 5036 7018 7554 10527 13849 14036 15108 21054 27698 36511 41547 42108 55396 73022 83094 109533 146044 152339 166188 219066 304678 401621 438132 457017 609356 803242 914034 1204863 1606484 1828068 2409726 4417831 4819452 8835662 13253493 17671324 26506986 53013972