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5008432 = 2411213199
BaseRepresentation
bin10011000110110000110000
3100102110021111
4103012300300
52240232212
6255203104
760366562
oct23066060
910373244
105008432
112910a00
121816494
131064890
14945332
1568dea7
hex4c6c30

5008432 has 60 divisors (see below), whose sum is σ = 11544400. Its totient is φ = 2090880.

The previous prime is 5008429. The next prime is 5008433. The reversal of 5008432 is 2348005.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (5008433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25069 + ... + 25267.

Almost surely, 25008432 is an apocalyptic number.

5008432 is a gapful number since it is divisible by the number (52) 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 5008432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772200).

5008432 is an abundant number, since it is smaller than the sum of its proper divisors (6535968).

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

5008432 is a wasteful number, since it uses less digits than its factorization.

5008432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5008432 is about 2237.9526357812. The cubic root of 5008432 is about 171.0936641319.

The spelling of 5008432 in words is "five million, eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 199 208 242 286 398 484 572 796 968 1144 1573 1592 1936 2189 2288 2587 3146 3184 4378 5174 6292 8756 10348 12584 17512 20696 24079 25168 28457 35024 41392 48158 56914 96316 113828 192632 227656 313027 385264 455312 626054 1252108 2504216 5008432