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842109632 = 26713144593
BaseRepresentation
bin110010001100011…
…001001011000000
32011200120121020122
4302030121023000
53211040002012
6215321155412
726603546060
oct6214311300
92150517218
10842109632
113a2392481
121b602bb68
13105607a30
147dbab3a0
154dde3e72
hex323192c0

842109632 has 56 divisors (see below), whose sum is σ = 2056705056. Its totient is φ = 333139968.

The previous prime is 842109623. The next prime is 842109643. The reversal of 842109632 is 236901248.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 842109592 and 842109601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66473 + ... + 78120.

It is an arithmetic number, because the mean of its divisors is an integer number (36726876).

Almost surely, 2842109632 is an apocalyptic number.

It is an amenable number.

842109632 is an abundant number, since it is smaller than the sum of its proper divisors (1214595424).

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

842109632 is a wasteful number, since it uses less digits than its factorization.

842109632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144625 (or 144615 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 842109632 is about 29019.1252797185. The cubic root of 842109632 is about 944.3280244696.

The spelling of 842109632 in words is "eight hundred forty-two million, one hundred nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 144593 289186 578372 1012151 1156744 1879709 2024302 2313488 3759418 4048604 4626976 7518836 8097208 9253952 13157963 15037672 16194416 26315926 30075344 32388832 52631852 60150688 64777664 105263704 120301376 210527408 421054816 842109632