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252262374 = 237133712487
BaseRepresentation
bin11110000100100…
…11011111100110
3122120200020220220
433002103133212
51004034343444
641010505210
76152123550
oct1702233746
9576606826
10252262374
1111a439501
1270595206
13403553a0
14257084d0
151722e619
hexf0937e6

252262374 has 64 divisors (see below), whose sum is σ = 637787136. Its totient is φ = 64727424.

The previous prime is 252262369. The next prime is 252262379. The reversal of 252262374 is 473262252.

It is an interprime number because it is at equal distance from previous prime (252262369) and next prime (252262379).

It is a super-2 number, since 2×2522623742 = 127272610672231752, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252262379) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13959 + ... + 26445.

It is an arithmetic number, because the mean of its divisors is an integer number (9965424).

Almost surely, 2252262374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252262374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318893568).

252262374 is an abundant number, since it is smaller than the sum of its proper divisors (385524762).

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

252262374 is a wasteful number, since it uses less digits than its factorization.

252262374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12549.

The product of its digits is 40320, while the sum is 33.

The square root of 252262374 is about 15882.7697206753. The cubic root of 252262374 is about 631.8550964995.

The spelling of 252262374 in words is "two hundred fifty-two million, two hundred sixty-two thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 6734 10101 12487 20202 24974 37461 74922 87409 162331 174818 262227 324662 462019 486993 524454 924038 973986 1136317 1386057 2272634 2772114 3234133 3408951 6006247 6468266 6817902 9702399 12012494 18018741 19404798 36037482 42043729 84087458 126131187 252262374