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53525640 = 2335729103
BaseRepresentation
bin1100110000101…
…1110010001000
310201201101101010
43030023302020
5102200310030
65151123520
71216650300
oct314136210
9121641333
1053525640
1128239673
1215b135a0
13b12109c
147174600
154a746b0
hex330bc88

53525640 has 96 divisors (see below), whose sum is σ = 186814080. Its totient is φ = 12233088.

The previous prime is 53525629. The next prime is 53525653. The reversal of 53525640 is 4652535.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 53525598 and 53525607.

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 23 ways as a sum of consecutive naturals, for example, 1329 + ... + 10431.

It is an arithmetic number, because the mean of its divisors is an integer number (1945980).

Almost surely, 253525640 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 53525640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93407040).

53525640 is an abundant number, since it is smaller than the sum of its proper divisors (133288440).

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

53525640 is a wasteful number, since it uses less digits than its factorization.

53525640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 53525640 is about 7316.1219235330. The cubic root of 53525640 is about 376.8662876243.

The spelling of 53525640 in words is "fifty-three million, five hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 9103 18206 27309 36412 45515 54618 63721 72824 91030 109236 127442 136545 182060 191163 218472 254884 273090 318605 364120 382326 446047 509768 546180 637210 764652 892094 955815 1092360 1274420 1338141 1529304 1784188 1911630 2230235 2548840 2676282 3568376 3823260 4460470 5352564 6690705 7646520 8920940 10705128 13381410 17841880 26762820 53525640