Search a number
-
+
252454896 = 243217281367
BaseRepresentation
bin11110000110000…
…10011111110000
3122121001001000100
433003002133300
51004112024041
641014552400
76153555051
oct1703023760
9577031010
10252454896
1111a560111
1270668700
13403c1bc5
1425758728
151726b6b6
hexf0c27f0

252454896 has 120 divisors (see below), whose sum is σ = 752791104. Its totient is φ = 78704640.

The previous prime is 252454799. The next prime is 252454927. The reversal of 252454896 is 698454252.

252454896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687705 + ... + 688071.

Almost surely, 2252454896 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 252454896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376395552).

252454896 is an abundant number, since it is smaller than the sum of its proper divisors (500336208).

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

252454896 is a wasteful number, since it uses less digits than its factorization.

252454896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 252454896 is about 15888.8292834935. The cubic root of 252454896 is about 632.0157956849.

The spelling of 252454896 in words is "two hundred fifty-two million, four hundred fifty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 281 306 367 408 562 612 734 816 843 1101 1124 1224 1468 1686 2202 2248 2448 2529 2936 3303 3372 4404 4496 4777 5058 5872 6239 6606 6744 8808 9554 10116 12478 13212 13488 14331 17616 18717 19108 20232 24956 26424 28662 37434 38216 40464 42993 49912 52848 56151 57324 74868 76432 85986 99824 103127 112302 114648 149736 171972 206254 224604 229296 299472 309381 343944 412508 449208 618762 687888 825016 898416 928143 1237524 1650032 1753159 1856286 2475048 3506318 3712572 4950096 5259477 7012636 7425144 10518954 14025272 14850288 15778431 21037908 28050544 31556862 42075816 63113724 84151632 126227448 252454896