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252664434 = 23411711997
BaseRepresentation
bin11110000111101…
…01101001110010
3122121102200110000
433003311221302
51004140230214
641023250430
76155420001
oct1703655162
9577380400
10252664434
1111a693590
1270749a16
13404663a9
14257b0c38
15172ad809
hexf0f5a72

252664434 has 80 divisors (see below), whose sum is σ = 626636736. Its totient is φ = 75448800.

The previous prime is 252664351. The next prime is 252664463. The reversal of 252664434 is 434466252.

252664434 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 644 + 3 + 4 = 666.

It is a super-3 number, since 3×2526644343 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125524 + ... + 127520.

Almost surely, 2252664434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252664434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313318368).

252664434 is an abundant number, since it is smaller than the sum of its proper divisors (373972302).

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

252664434 is a wasteful number, since it uses less digits than its factorization.

252664434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2084 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 252664434 is about 15895.4217937115. The cubic root of 252664434 is about 632.1906053973.

The spelling of 252664434 in words is "two hundred fifty-two million, six hundred sixty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 81 99 142 162 198 213 297 426 594 639 781 891 1278 1562 1782 1917 1997 2343 3834 3994 4686 5751 5991 7029 11502 11982 14058 17973 21087 21967 35946 42174 43934 53919 63261 65901 107838 126522 131802 141787 161757 197703 283574 323514 395406 425361 593109 850722 1186218 1276083 1559657 1779327 2552166 3119314 3558654 3828249 4678971 7656498 9357942 11484747 14036913 22969494 28073826 42110739 84221478 126332217 252664434