Search a number
-
+
104480478 = 232311131657
BaseRepresentation
bin1100011101000…
…11111011011110
321021121011021100
412032203323132
5203221333403
614211213530
72406032544
oct616437336
9237534240
10104480478
1153a81803
122aba72a6
1318851c8b
14dc39d94
15928c2a3
hex63a3ede

104480478 has 48 divisors (see below), whose sum is σ = 235886976. Its totient is φ = 33384960.

The previous prime is 104480477. The next prime is 104480501. The reversal of 104480478 is 874084401.

It is a happy number.

104480478 is a `hidden beast` number, since 104 + 4 + 80 + 478 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104480473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62226 + ... + 63882.

It is an arithmetic number, because the mean of its divisors is an integer number (4914312).

Almost surely, 2104480478 is an apocalyptic number.

104480478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104480478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117943488).

104480478 is an abundant number, since it is smaller than the sum of its proper divisors (131406498).

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

104480478 is a wasteful number, since it uses less digits than its factorization.

104480478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 104480478 is about 10221.5692532996. The cubic root of 104480478 is about 470.9900331914.

The spelling of 104480478 in words is "one hundred four million, four hundred eighty thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 18 31 62 93 113 186 226 279 339 558 678 1017 1657 2034 3314 3503 4971 7006 9942 10509 14913 21018 29826 31527 51367 63054 102734 154101 187241 308202 374482 462303 561723 924606 1123446 1685169 3370338 5804471 11608942 17413413 34826826 52240239 104480478