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825572040 = 233519362093
BaseRepresentation
bin110001001101010…
…011101011001000
32010112110101221020
4301031103223020
53142321301130
6213530512440
726313150366
oct6115235310
92115411836
10825572040
11394017547
121b0595720
13102067587
147b904636
154c728e10
hex31353ac8

825572040 has 64 divisors (see below), whose sum is σ = 2607076800. Its totient is φ = 208564992.

The previous prime is 825572039. The next prime is 825572053. The reversal of 825572040 is 40275528.

825572040 is digitally balanced in base 6, 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 = 825571992 and 825572010.

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, 178767 + ... + 183326.

It is an arithmetic number, because the mean of its divisors is an integer number (40735575).

Almost surely, 2825572040 is an apocalyptic number.

It is an amenable number.

825572040 is an abundant number, since it is smaller than the sum of its proper divisors (1781504760).

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

825572040 is a wasteful number, since it uses less digits than its factorization.

825572040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362126 (or 362122 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 825572040 is about 28732.7694453563. The cubic root of 825572040 is about 938.1054492647.

The spelling of 825572040 in words is "eight hundred twenty-five million, five hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 362093 724186 1086279 1448372 1810465 2172558 2896744 3620930 4345116 5431395 6879767 7241860 8690232 10862790 13759534 14483720 20639301 21725580 27519068 34398835 41278602 43451160 55038136 68797670 82557204 103196505 137595340 165114408 206393010 275190680 412786020 825572040