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239603104 = 25132919861
BaseRepresentation
bin11100100100000…
…00110110100000
3121200212002200001
432102000312200
5442314244404
635435305344
75636410216
oct1622006640
9550762601
10239603104
111132823a4
12682ab254
133a8422b0
1423b70cb6
151607d7a4
hexe480da0

239603104 has 48 divisors (see below), whose sum is σ = 525548520. Its totient is φ = 106767360.

The previous prime is 239603101. The next prime is 239603137. The reversal of 239603104 is 401306932.

It can be written as a sum of positive squares in 4 ways, for example, as 89491600 + 150111504 = 9460^2 + 12252^2 .

It is not an unprimeable number, because it can be changed into a prime (239603101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2134 + ... + 21994.

Almost surely, 2239603104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239603104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262774260).

239603104 is an abundant number, since it is smaller than the sum of its proper divisors (285945416).

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

239603104 is a wasteful number, since it uses less digits than its factorization.

239603104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19913 (or 19905 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 239603104 is about 15479.1183211448. The cubic root of 239603104 is about 621.1037432466.

The spelling of 239603104 in words is "two hundred thirty-nine million, six hundred three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 12064 19861 39722 79444 158888 258193 317776 516386 575969 635552 1032772 1151938 2065544 2303876 4131088 4607752 7487597 8262176 9215504 14975194 18431008 29950388 59900776 119801552 239603104