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1474192104 = 2337113125733
BaseRepresentation
bin101011111011110…
…0110001011101000
310210201221201101120
41113313212023220
511004343121404
6402141015240
751350266110
oct12767461350
93721851346
101474192104
11697163390
12351854520
131a6557428
14ddb06040
158964c9d9
hex57de62e8

1474192104 has 128 divisors (see below), whose sum is σ = 4743290880. Its totient is φ = 370540800.

The previous prime is 1474192087. The next prime is 1474192123. The reversal of 1474192104 is 4012914741.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44422 + ... + 70154.

It is an arithmetic number, because the mean of its divisors is an integer number (37056960).

Almost surely, 21474192104 is an apocalyptic number.

1474192104 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 1474192104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371645440).

1474192104 is an abundant number, since it is smaller than the sum of its proper divisors (3269098776).

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

1474192104 is a wasteful number, since it uses less digits than its factorization.

1474192104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25791 (or 25787 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1474192104 is about 38395.2093886724. The cubic root of 1474192104 is about 1138.1111905053. Note that the first 4 decimals are identical.

The spelling of 1474192104 in words is "one billion, four hundred seventy-four million, one hundred ninety-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 31 33 42 44 56 62 66 77 84 88 93 124 132 154 168 186 217 231 248 264 308 341 372 434 462 616 651 682 744 868 924 1023 1302 1364 1736 1848 2046 2387 2604 2728 4092 4774 5208 7161 8184 9548 14322 19096 25733 28644 51466 57288 77199 102932 154398 180131 205864 283063 308796 360262 540393 566126 617592 720524 797723 849189 1080786 1132252 1441048 1595446 1698378 1981441 2161572 2264504 2393169 3190892 3396756 3962882 4323144 4786338 5584061 5944323 6381784 6793512 7925764 8774953 9572676 11168122 11888646 15851528 16752183 17549906 19145352 22336244 23777292 26324859 33504366 35099812 44672488 47554584 52649718 61424671 67008732 70199624 105299436 122849342 134017464 184274013 210598872 245698684 368548026 491397368 737096052 1474192104