Search a number
-
+
104474832 = 243711231229
BaseRepresentation
bin1100011101000…
…10100011010000
321021120212112020
412032202203100
5203221143312
614211131440
72406010230
oct616424320
9237525466
10104474832
1153a78540
122aba3b80
131884c537
14dc37cc0
15928a78c
hex63a28d0

104474832 has 160 divisors (see below), whose sum is σ = 351406080. Its totient is φ = 25935360.

The previous prime is 104474771. The next prime is 104474837. The reversal of 104474832 is 238474401.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 104474793 and 104474802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104474837) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 84394 + ... + 85622.

It is an arithmetic number, because the mean of its divisors is an integer number (2196288).

Almost surely, 2104474832 is an apocalyptic number.

104474832 is a gapful number since it is divisible by the number (12) 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 104474832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175703040).

104474832 is an abundant number, since it is smaller than the sum of its proper divisors (246931248).

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

104474832 is a wasteful number, since it uses less digits than its factorization.

104474832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 104474832 is about 10221.2930688832. The cubic root of 104474832 is about 470.9815491260.

The spelling of 104474832 in words is "one hundred four million, four hundred seventy-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 33 42 44 46 48 56 66 69 77 84 88 92 112 132 138 154 161 168 176 184 231 253 264 276 308 322 336 368 462 483 506 528 552 616 644 759 924 966 1012 1104 1229 1232 1288 1518 1771 1848 1932 2024 2458 2576 3036 3542 3687 3696 3864 4048 4916 5313 6072 7084 7374 7728 8603 9832 10626 12144 13519 14168 14748 17206 19664 21252 25809 27038 28267 28336 29496 34412 40557 42504 51618 54076 56534 58992 68824 81114 84801 85008 94633 103236 108152 113068 137648 162228 169602 189266 197869 206472 216304 226136 283899 310937 324456 339204 378532 395738 412944 452272 567798 593607 621874 648912 678408 757064 791476 932811 1135596 1187214 1243748 1356816 1514128 1582952 1865622 2176559 2271192 2374428 2487496 3165904 3731244 4353118 4542384 4748856 4974992 6529677 7462488 8706236 9497712 13059354 14924976 17412472 26118708 34824944 52237416 104474832