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825272630 = 25713269761
BaseRepresentation
bin110001001100001…
…010100100110110
32010111220012012222
4301030022210312
53142232211010
6213520242342
726310462440
oct6114124466
92114805188
10825272630
113939325a6
121b04703b2
13101c91200
147b867490
154c6ba355
hex3130a936

825272630 has 48 divisors (see below), whose sum is σ = 1838368224. Its totient is φ = 261181440.

The previous prime is 825272611. The next prime is 825272639. The reversal of 825272630 is 36272528.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825272639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23051 + ... + 46710.

It is an arithmetic number, because the mean of its divisors is an integer number (38299338).

Almost surely, 2825272630 is an apocalyptic number.

825272630 is an abundant number, since it is smaller than the sum of its proper divisors (1013095594).

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

825272630 is a wasteful number, since it uses less digits than its factorization.

825272630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69801 (or 69788 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 825272630 is about 28727.5587198077. The cubic root of 825272630 is about 937.9920280645.

The spelling of 825272630 in words is "eight hundred twenty-five million, two hundred seventy-two thousand, six hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 169 182 338 455 845 910 1183 1690 2366 5915 11830 69761 139522 348805 488327 697610 906893 976654 1813786 2441635 4534465 4883270 6348251 9068930 11789609 12696502 23579218 31741255 58948045 63482510 82527263 117896090 165054526 412636315 825272630