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52500608 = 2731101131
BaseRepresentation
bin1100100001000…
…1100010000000
310122210022021222
43020101202000
5101420004413
65113134212
71205150666
oct310214200
9118708258
1052500608
11276a9536
12156ba368
13ab52664
146d88c36
154920b08
hex3211880

52500608 has 64 divisors (see below), whose sum is σ = 109866240. Its totient is φ = 24960000.

The previous prime is 52500599. The next prime is 52500611. The reversal of 52500608 is 80600525.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400703 + ... + 400833.

It is an arithmetic number, because the mean of its divisors is an integer number (1716660).

Almost surely, 252500608 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 52500608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54933120).

52500608 is an abundant number, since it is smaller than the sum of its proper divisors (57365632).

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

52500608 is a wasteful number, since it uses less digits than its factorization.

52500608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 52500608 is about 7245.7303289593. The cubic root of 52500608 is about 374.4450648266.

The spelling of 52500608 in words is "fifty-two million, five hundred thousand, six hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 101 124 128 131 202 248 262 404 496 524 808 992 1048 1616 1984 2096 3131 3232 3968 4061 4192 6262 6464 8122 8384 12524 12928 13231 16244 16768 25048 26462 32488 50096 52924 64976 100192 105848 129952 200384 211696 259904 400768 410161 423392 519808 820322 846784 1640644 1693568 3281288 6562576 13125152 26250304 52500608