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842640804 = 22321910971123
BaseRepresentation
bin110010001110011…
…010110110100100
32011201120120212200
4302032122312210
53211204001204
6215340414500
726611220505
oct6216326644
92151516780
10842640804
113a2715565
121b6247430
13105762735
147dca8bac
154de9b539
hex3239ada4

842640804 has 72 divisors (see below), whose sum is σ = 2246156640. Its totient is φ = 265617792.

The previous prime is 842640803. The next prime is 842640829. The reversal of 842640804 is 408046248.

842640804 is a `hidden beast` number, since 8 + 4 + 2 + 640 + 8 + 0 + 4 = 666.

842640804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (842640803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749787 + ... + 750909.

It is an arithmetic number, because the mean of its divisors is an integer number (31196620).

Almost surely, 2842640804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842640804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123078320).

842640804 is an abundant number, since it is smaller than the sum of its proper divisors (1403515836).

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

842640804 is a wasteful number, since it uses less digits than its factorization.

842640804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 842640804 is about 29028.2759391597. The cubic root of 842640804 is about 944.5265319480.

The spelling of 842640804 in words is "eight hundred forty-two million, six hundred forty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1097 1123 2194 2246 3291 3369 4388 4492 6582 6738 9873 10107 13164 13476 19746 20214 20843 21337 39492 40428 41686 42674 62529 64011 83372 85348 125058 128022 187587 192033 250116 256044 375174 384066 750348 768132 1231931 2463862 3695793 4927724 7391586 11087379 14783172 22174758 23406689 44349516 46813378 70220067 93626756 140440134 210660201 280880268 421320402 842640804