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825023407 = 13293735867
BaseRepresentation
bin110001001011001…
…101101110101111
32010111102112100111
4301023031232233
53142201222112
6213511040451
726305404025
oct6113155657
92114375314
10825023407
1139378232a
121b0370127
13101c04940
147b800715
154c66b5a7
hex312cdbaf

825023407 has 16 divisors (see below), whose sum is σ = 921745440. Its totient is φ = 733203072.

The previous prime is 825023399. The next prime is 825023411. The reversal of 825023407 is 704320528.

It is a cyclic number.

It is not a de Polignac number, because 825023407 - 23 = 825023399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825023417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137688 + ... + 143554.

It is an arithmetic number, because the mean of its divisors is an integer number (57609090).

Almost surely, 2825023407 is an apocalyptic number.

825023407 is a deficient number, since it is larger than the sum of its proper divisors (96722033).

825023407 is a wasteful number, since it uses less digits than its factorization.

825023407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6282.

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 825023407 is about 28723.2206933693. The cubic root of 825023407 is about 937.8975975638.

The spelling of 825023407 in words is "eight hundred twenty-five million, twenty-three thousand, four hundred seven".

Divisors: 1 13 29 373 377 4849 5867 10817 76271 140621 170143 2188391 2211859 28449083 63463339 825023407