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826806840 = 233560711351
BaseRepresentation
bin110001010010000…
…001001000111000
32010121210010202120
4301102001020320
53143130304330
6214013201240
726326512366
oct6122011070
92117703676
10826806840
11394790242
121b0a90220
131023aa622
147bb46636
154c8bec10
hex31481238

826806840 has 64 divisors (see below), whose sum is σ = 2484725760. Its totient is φ = 220099200.

The previous prime is 826806823. The next prime is 826806863. The reversal of 826806840 is 48608628.

It is a junction number, because it is equal to n+sod(n) for n = 826806792 and 826806801.

It is a congruent number.

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, 67165 + ... + 78515.

It is an arithmetic number, because the mean of its divisors is an integer number (38823840).

Almost surely, 2826806840 is an apocalyptic number.

It is an amenable number.

826806840 is an abundant number, since it is smaller than the sum of its proper divisors (1657918920).

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

826806840 is a wasteful number, since it uses less digits than its factorization.

826806840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11972 (or 11968 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 826806840 is about 28754.2490773103. The cubic root of 826806840 is about 938.5729213163.

The spelling of 826806840 in words is "eight hundred twenty-six million, eight hundred six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 607 1214 1821 2428 3035 3642 4856 6070 7284 9105 11351 12140 14568 18210 22702 24280 34053 36420 45404 56755 68106 72840 90808 113510 136212 170265 227020 272424 340530 454040 681060 1362120 6890057 13780114 20670171 27560228 34450285 41340342 55120456 68900570 82680684 103350855 137801140 165361368 206701710 275602280 413403420 826806840