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825732740 = 225731190261
BaseRepresentation
bin110001001101111…
…010111010000100
32010112202120101002
4301031322322010
53142341421430
6213534152432
726314420040
oct6115727204
92115676332
10825732740
11394117258
121b0652718
131020c2771
147b947020
154c75b845
hex3137ae84

825732740 has 48 divisors (see below), whose sum is σ = 2045697024. Its totient is φ = 273974400.

The previous prime is 825732701. The next prime is 825732763. The reversal of 825732740 is 47237528.

825732740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 825732694 and 825732703.

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, 90791 + ... + 99470.

It is an arithmetic number, because the mean of its divisors is an integer number (42618688).

Almost surely, 2825732740 is an apocalyptic number.

It is an amenable number.

825732740 is an abundant number, since it is smaller than the sum of its proper divisors (1219964284).

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

825732740 is a wasteful number, since it uses less digits than its factorization.

825732740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190308 (or 190306 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 825732740 is about 28735.5657678773. The cubic root of 825732740 is about 938.1663136342.

The spelling of 825732740 in words is "eight hundred twenty-five million, seven hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 190261 380522 761044 951305 1331827 1902610 2663654 3805220 5327308 5898091 6659135 11796182 13318270 23592364 26636540 29490455 41286637 58980910 82573274 117961820 165146548 206433185 412866370 825732740