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252397296 = 24377213
BaseRepresentation
bin11110000101101…
…00011011110000
3122120221010000000
433002310123300
51004103203141
641013430000
76153225114
oct1702643360
9576833000
10252397296
1111a520908
127063b300
13403a1918
1425741744
15172595b6
hexf0b46f0

252397296 has 80 divisors (see below), whose sum is σ = 733519520. Its totient is φ = 84120768.

The previous prime is 252397279. The next prime is 252397297. The reversal of 252397296 is 692793252.

It is a happy number.

252397296 is a `hidden beast` number, since 252 + 397 + 2 + 9 + 6 = 666.

252397296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2523972962 = 127408790056223232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252397297) 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, 31386 + ... + 38598.

It is an arithmetic number, because the mean of its divisors is an integer number (9168994).

Almost surely, 2252397296 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 252397296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366759760).

252397296 is an abundant number, since it is smaller than the sum of its proper divisors (481122224).

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

252397296 is an frugal number, since it uses more digits than its factorization.

252397296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7242 (or 7218 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 252397296 is about 15887.0165858792. The cubic root of 252397296 is about 631.9677252118.

The spelling of 252397296 in words is "two hundred fifty-two million, three hundred ninety-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 7213 8748 11664 14426 17496 21639 28852 34992 43278 57704 64917 86556 115408 129834 173112 194751 259668 346224 389502 519336 584253 779004 1038672 1168506 1558008 1752759 2337012 3116016 3505518 4674024 5258277 7011036 9348048 10516554 14022072 15774831 21033108 28044144 31549662 42066216 63099324 84132432 126198648 252397296