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104292804 = 223711231331
BaseRepresentation
bin1100011011101…
…10000111000100
321021020121211110
412031312013010
5203144332204
614203205020
72404321440
oct615660704
9237217743
10104292804
1153963800
122ab16770
13187b7725
14dbcb820
159251889
hex63761c4

104292804 has 144 divisors (see below), whose sum is σ = 316510208. Its totient is φ = 26136000.

The previous prime is 104292733. The next prime is 104292809. The reversal of 104292804 is 408292401.

It is not an unprimeable number, because it can be changed into a prime (104292809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314919 + ... + 315249.

Almost surely, 2104292804 is an apocalyptic number.

104292804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104292804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158255104).

104292804 is an abundant number, since it is smaller than the sum of its proper divisors (212217404).

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

104292804 is a wasteful number, since it uses less digits than its factorization.

104292804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 104292804 is about 10212.3848341120. The cubic root of 104292804 is about 470.7078574734.

The spelling of 104292804 in words is "one hundred four million, two hundred ninety-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 121 124 132 154 186 217 231 242 308 331 341 363 372 434 462 484 651 662 682 726 847 868 924 993 1023 1302 1324 1364 1452 1694 1986 2046 2317 2387 2541 2604 3388 3641 3751 3972 4092 4634 4774 5082 6951 7161 7282 7502 9268 9548 10164 10261 10923 11253 13902 14322 14564 15004 20522 21846 22506 25487 26257 27804 28644 30783 40051 41044 43692 45012 50974 52514 61566 71827 76461 78771 80102 101948 105028 112871 120153 123132 143654 152922 157542 160204 215481 225742 240306 280357 287308 305844 315084 338613 430962 451484 480612 560714 677226 790097 841071 861924 1121428 1241581 1354452 1580194 1682142 2370291 2483162 3160388 3364284 3724743 4740582 4966324 7449486 8691067 9481164 14898972 17382134 26073201 34764268 52146402 104292804