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252241104 = 24317476577
BaseRepresentation
bin11110000100011…
…10010011010000
3122120122011202010
433002032103100
51004033203404
641010222520
76152004543
oct1702162320
9576564663
10252241104
1111a424525
1270584a40
13403487bb
142570085a
1517228189
hexf08e4d0

252241104 has 80 divisors (see below), whose sum is σ = 704740608. Its totient is φ = 77438976.

The previous prime is 252241103. The next prime is 252241111. The reversal of 252241104 is 401142252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252241103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35064 + ... + 41640.

Almost surely, 2252241104 is an apocalyptic number.

252241104 is a gapful number since it is divisible by the number (24) 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 252241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352370304).

252241104 is an abundant number, since it is smaller than the sum of its proper divisors (452499504).

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

252241104 is a wasteful number, since it uses less digits than its factorization.

252241104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 252241104 is about 15882.1001130203. The cubic root of 252241104 is about 631.8373372972.

Adding to 252241104 its reverse (401142252), we get a palindrome (653383356).

The spelling of 252241104 in words is "two hundred fifty-two million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 94 102 136 141 188 204 272 282 376 408 564 752 799 816 1128 1598 2256 2397 3196 4794 6392 6577 9588 12784 13154 19176 19731 26308 38352 39462 52616 78924 105232 111809 157848 223618 309119 315696 335427 447236 618238 670854 894472 927357 1236476 1341708 1788944 1854714 2472952 2683416 3709428 4945904 5255023 5366832 7418856 10510046 14837712 15765069 21020092 31530138 42040184 63060276 84080368 126120552 252241104