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204152432 = 24117914683
BaseRepresentation
bin11000010101100…
…01111001110000
3112020011000111012
430022301321300
5404230334212
632131410052
75026160411
oct1412617160
9466130435
10204152432
11a5269820
1258453928
13333ac373
141d183808
1512dc9922
hexc2b1e70

204152432 has 40 divisors (see below), whose sum is σ = 436995840. Its totient is φ = 91615680.

The previous prime is 204152423. The next prime is 204152437. The reversal of 204152432 is 234251402.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 204152398 and 204152407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204152437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6563 + ... + 21245.

It is an arithmetic number, because the mean of its divisors is an integer number (10924896).

Almost surely, 2204152432 is an apocalyptic number.

204152432 is a gapful number since it is divisible by the number (22) 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 204152432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218497920).

204152432 is an abundant number, since it is smaller than the sum of its proper divisors (232843408).

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

204152432 is a wasteful number, since it uses less digits than its factorization.

204152432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14781 (or 14775 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 204152432 is about 14288.1920479814. The cubic root of 204152432 is about 588.8231179634.

The spelling of 204152432 in words is "two hundred four million, one hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 869 1264 1738 3476 6952 13904 14683 29366 58732 117464 161513 234928 323026 646052 1159957 1292104 2319914 2584208 4639828 9279656 12759527 18559312 25519054 51038108 102076216 204152432