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638242152 = 233179716127
BaseRepresentation
bin100110000010101…
…100110101101000
31122110222001122020
4212002230311220
52301342222102
6143155424440
721546653202
oct4602546550
91573861566
10638242152
112a82a8859
121598b5120
13a22c82a2
1460a9d772
153b073bbc
hex260acd68

638242152 has 64 divisors (see below), whose sum is σ = 1706987520. Its totient is φ = 198156288.

The previous prime is 638242151. The next prime is 638242177. The reversal of 638242152 is 251242836.

It is a super-2 number, since 2×6382421522 = 814706089179182208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (638242151) 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 15 ways as a sum of consecutive naturals, for example, 31513 + ... + 47639.

It is an arithmetic number, because the mean of its divisors is an integer number (26671680).

Almost surely, 2638242152 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 638242152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853493760).

638242152 is an abundant number, since it is smaller than the sum of its proper divisors (1068745368).

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

638242152 is a wasteful number, since it uses less digits than its factorization.

638242152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16250 (or 16246 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 638242152 is about 25263.4548706229. The cubic root of 638242152 is about 860.9841590673.

Adding to 638242152 its reverse (251242836), we get a palindrome (889484988).

The spelling of 638242152 in words is "six hundred thirty-eight million, two hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 97 102 136 194 204 291 388 408 582 776 1164 1649 2328 3298 4947 6596 9894 13192 16127 19788 32254 39576 48381 64508 96762 129016 193524 274159 387048 548318 822477 1096636 1564319 1644954 2193272 3128638 3289908 4692957 6257276 6579816 9385914 12514552 18771828 26593423 37543656 53186846 79780269 106373692 159560538 212747384 319121076 638242152