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104764842 = 23272139137
BaseRepresentation
bin1100011111010…
…01010110101010
321022010121100100
412033221112222
5203304433332
614221250230
72411325600
oct617512652
9238117310
10104764842
1154156416
122b103976
1318921540
14dcb1870
1592e667c
hex63e95aa

104764842 has 72 divisors (see below), whose sum is σ = 284392836. Its totient is φ = 27627264.

The previous prime is 104764819. The next prime is 104764867. The reversal of 104764842 is 248467401.

104764842 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 648 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77422401 + 27342441 = 8799^2 + 5229^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 104764797 and 104764806.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6898 + ... + 16034.

Almost surely, 2104764842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104764842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142196418).

104764842 is an abundant number, since it is smaller than the sum of its proper divisors (179627994).

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

104764842 is a wasteful number, since it uses less digits than its factorization.

104764842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9172 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 104764842 is about 10235.4697986951. The cubic root of 104764842 is about 471.4169432000.

It can be divided in two parts, 104764 and 842, that multiplied together give a palindrome (88211288).

The spelling of 104764842 in words is "one hundred four million, seven hundred sixty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5733 9137 11466 18274 27411 54822 63959 82233 118781 127918 164466 191877 237562 356343 383754 447713 575631 712686 831467 895426 1069029 1151262 1343139 1662934 2138058 2494401 2686278 4029417 4988802 5820269 7483203 8058834 11640538 14966406 17460807 34921614 52382421 104764842