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252242442 = 2321961107113
BaseRepresentation
bin11110000100011…
…10101000001010
3122120122020120200
433002032220022
51004033224232
641010233030
76152011464
oct1702165012
9576566520
10252242442
1111a425531
1270585776
13403492aa
1425701134
151722877c
hexf08ea0a

252242442 has 96 divisors (see below), whose sum is σ = 595408320. Its totient is φ = 76930560.

The previous prime is 252242437. The next prime is 252242483. The reversal of 252242442 is 244242252.

It is a super-2 number, since 2×2522424422 = 127252499092246728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2232178 + ... + 2232290.

It is an arithmetic number, because the mean of its divisors is an integer number (6202170).

Almost surely, 2252242442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252242442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297704160).

252242442 is an abundant number, since it is smaller than the sum of its proper divisors (343165878).

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

252242442 is a wasteful number, since it uses less digits than its factorization.

252242442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 305 counting only the distinct ones).

The product of its digits is 10240, while the sum is 27.

The square root of 252242442 is about 15882.1422358572. The cubic root of 252242442 is about 631.8384544781.

Adding to 252242442 its reverse (244242252), we get a palindrome (496484694).

The spelling of 252242442 in words is "two hundred fifty-two million, two hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 61 107 113 114 122 171 183 214 226 321 339 342 366 549 642 678 963 1017 1098 1159 1926 2033 2034 2147 2318 3477 4066 4294 6099 6441 6527 6893 6954 10431 12091 12198 12882 13054 13786 18297 19323 19581 20679 20862 24182 36273 36594 38646 39162 41358 58743 62037 72546 108819 117486 124013 124074 130967 217638 229729 248026 261934 372039 392901 459458 689187 737551 744078 785802 1116117 1178703 1378374 1475102 2067561 2212653 2232234 2357406 4135122 4425306 6637959 13275918 14013469 28026938 42040407 84080814 126121221 252242442