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826821132 = 223547125963
BaseRepresentation
bin110001010010000…
…100101000001100
32010121210212100220
4301102010220030
53143131234012
6214013351340
726326602144
oct6122045014
92117725326
10826821132
1139479aa55
121b0a98550
131023b3c97
147bb4b924
154c8c408c
hex31484a0c

826821132 has 24 divisors (see below), whose sum is σ = 1932791616. Its totient is φ = 275101008.

The previous prime is 826821131. The next prime is 826821137. The reversal of 826821132 is 231128628.

It is a super-2 number, since 2×8268211322 = 1367266368643522848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 826821093 and 826821102.

It is not an unprimeable number, because it can be changed into a prime (826821131) 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, 56418 + ... + 69545.

It is an arithmetic number, because the mean of its divisors is an integer number (80532984).

Almost surely, 2826821132 is an apocalyptic number.

It is an amenable number.

826821132 is an abundant number, since it is smaller than the sum of its proper divisors (1105970484).

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

826821132 is a wasteful number, since it uses less digits than its factorization.

826821132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126517 (or 126515 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 826821132 is about 28754.4975960283. The cubic root of 826821132 is about 938.5783292731.

The spelling of 826821132 in words is "eight hundred twenty-six million, eight hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 547 1094 1641 2188 3282 6564 125963 251926 377889 503852 755778 1511556 68901761 137803522 206705283 275607044 413410566 826821132