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52654640 = 2451793677
BaseRepresentation
bin1100100011011…
…1001000110000
310200002010120212
43020313020300
5101434422030
65120323252
71206362033
oct310671060
9120063525
1052654640
11277a4235
1215773528
13aba77bc
146dc901a
154951595
hex3237230

52654640 has 40 divisors (see below), whose sum is σ = 123139440. Its totient is φ = 20938496.

The previous prime is 52654631. The next prime is 52654699. The reversal of 52654640 is 4645625.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×526546402 = 5545022227059200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52654597 and 52654606.

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, 12482 + ... + 16158.

It is an arithmetic number, because the mean of its divisors is an integer number (3078486).

Almost surely, 252654640 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 52654640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61569720).

52654640 is an abundant number, since it is smaller than the sum of its proper divisors (70484800).

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

52654640 is a wasteful number, since it uses less digits than its factorization.

52654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 52654640 is about 7256.3517004070. The cubic root of 52654640 is about 374.8109031809.

The spelling of 52654640 in words is "fifty-two million, six hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 3677 7160 7354 14320 14708 18385 29416 36770 58832 73540 147080 294160 658183 1316366 2632732 3290915 5265464 6581830 10530928 13163660 26327320 52654640