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52658640 = 2433524379
BaseRepresentation
bin1100100011100…
…0000111010000
310200002100002000
43020320013100
5101440034030
65120354000
71206406506
oct310700720
9120070060
1052658640
11277a7241
1215775900
13aba9578
146dca676
154952860
hex32381d0

52658640 has 80 divisors (see below), whose sum is σ = 181387200. Its totient is φ = 14041728.

The previous prime is 52658629. The next prime is 52658653. The reversal of 52658640 is 4685625.

52658640 is a `hidden beast` number, since 5 + 2 + 6 + 5 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 52658595 and 52658604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10030 + ... + 14349.

It is an arithmetic number, because the mean of its divisors is an integer number (2267340).

Almost surely, 252658640 is an apocalyptic number.

It is an amenable number.

52658640 is an abundant number, since it is smaller than the sum of its proper divisors (128728560).

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

52658640 is a wasteful number, since it uses less digits than its factorization.

52658640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24401 (or 24389 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 52658640 is about 7256.6273157714. The cubic root of 52658640 is about 374.8203939916.

The spelling of 52658640 in words is "fifty-two million, six hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 24379 48758 73137 97516 121895 146274 195032 219411 243790 292548 365685 390064 438822 487580 585096 658233 731370 877644 975160 1097055 1170192 1316466 1462740 1755288 1950320 2194110 2632932 2925480 3291165 3510576 4388220 5265864 5850960 6582330 8776440 10531728 13164660 17552880 26329320 52658640