Search a number
-
+
104476624 = 2472133261
BaseRepresentation
bin1100011101000…
…10111111010000
321021120221222121
412032202333100
5203221222444
614211144024
72406015400
oct616427720
9237527877
10104476624
1153a7991a
122aba5014
13188502b5
14dc38800
15928b084
hex63a2fd0

104476624 has 30 divisors (see below), whose sum is σ = 235473954. Its totient is φ = 44775360.

The previous prime is 104476613. The next prime is 104476637. The reversal of 104476624 is 426674401.

It can be written as a sum of positive squares in only one way, i.e., 104448400 + 28224 = 10220^2 + 168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 104476624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65847 + ... + 67414.

Almost surely, 2104476624 is an apocalyptic number.

104476624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104476624 is an abundant number, since it is smaller than the sum of its proper divisors (130997330).

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

104476624 is a wasteful number, since it uses less digits than its factorization.

104476624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133283 (or 133270 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 104476624 is about 10221.3807286491. The cubic root of 104476624 is about 470.9842419407.

It can be divided in two parts, 10447 and 6624, that added together give a palindrome (17071).

The spelling of 104476624 in words is "one hundred four million, four hundred seventy-six thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 133261 266522 533044 932827 1066088 1865654 2132176 3731308 6529789 7462616 13059578 14925232 26119156 52238312 104476624