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826252040 = 23567308303
BaseRepresentation
bin110001001111111…
…001101100001000
32010120201221201102
4301033321230020
53143010031130
6213553240532
726322012035
oct6117715410
92116657642
10826252040
11394441429
121b0863148
13102244c43
147ba4038c
154c810645
hex313f9b08

826252040 has 32 divisors (see below), whose sum is σ = 1886820480. Its totient is φ = 325566912.

The previous prime is 826252027. The next prime is 826252043. The reversal of 826252040 is 40252628.

826252040 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 = 826251994 and 826252012.

It is not an unprimeable number, because it can be changed into a prime (826252043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151472 + ... + 156831.

It is an arithmetic number, because the mean of its divisors is an integer number (58963140).

Almost surely, 2826252040 is an apocalyptic number.

It is an amenable number.

826252040 is an abundant number, since it is smaller than the sum of its proper divisors (1060568440).

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

826252040 is a wasteful number, since it uses less digits than its factorization.

826252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308381 (or 308377 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 826252040 is about 28744.6001885572. The cubic root of 826252040 is about 938.3629420945.

The spelling of 826252040 in words is "eight hundred twenty-six million, two hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 308303 616606 1233212 1541515 2466424 3083030 6166060 12332120 20656301 41312602 82625204 103281505 165250408 206563010 413126020 826252040