Search a number
-
+
147332808 = 23327241761
BaseRepresentation
bin10001100100000…
…01111011001000
3101021020021121200
420302001323020
5300204122213
622341504200
73436210500
oct1062017310
9337207550
10147332808
1176190357
1241412060
13246a6b9c
14157d2a00
15ce04273
hex8c81ec8

147332808 has 72 divisors (see below), whose sum is σ = 464184630. Its totient is φ = 42094080.

The previous prime is 147332797. The next prime is 147332831. The reversal of 147332808 is 808233741.

It can be written as a sum of positive squares in only one way, i.e., 147331044 + 1764 = 12138^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 17353 + ... + 24408.

Almost surely, 2147332808 is an apocalyptic number.

147332808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

147332808 is an abundant number, since it is smaller than the sum of its proper divisors (316851822).

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

147332808 is a wasteful number, since it uses less digits than its factorization.

147332808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41787 (or 41773 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 147332808 is about 12138.0726641424. The cubic root of 147332808 is about 528.1611938968.

The spelling of 147332808 in words is "one hundred forty-seven million, three hundred thirty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 41761 83522 125283 167044 250566 292327 334088 375849 501132 584654 751698 876981 1002264 1169308 1503396 1753962 2046289 2338616 2630943 3006792 3507924 4092578 5261886 6138867 7015848 8185156 10523772 12277734 16370312 18416601 21047544 24555468 36833202 49110936 73666404 147332808