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252238434 = 23771251337
BaseRepresentation
bin11110000100011…
…01101001100010
3122120122001002020
433002031221202
51004033112214
641010202310
76151664010
oct1702155142
9576561066
10252238434
1111a422518
1270583396
1340347516
14256dd8b0
15172274a9
hexf08da62

252238434 has 64 divisors (see below), whose sum is σ = 588736512. Its totient is φ = 70560000.

The previous prime is 252238429. The next prime is 252238439. The reversal of 252238434 is 434832252.

It is an interprime number because it is at equal distance from previous prime (252238429) and next prime (252238439).

It is a junction number, because it is equal to n+sod(n) for n = 252238395 and 252238404.

It is not an unprimeable number, because it can be changed into a prime (252238439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 748314 + ... + 748650.

It is an arithmetic number, because the mean of its divisors is an integer number (9199008).

Almost surely, 2252238434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252238434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294368256).

252238434 is an abundant number, since it is smaller than the sum of its proper divisors (336498078).

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

252238434 is a wasteful number, since it uses less digits than its factorization.

252238434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671.

The product of its digits is 46080, while the sum is 33.

The square root of 252238434 is about 15882.0160559042. The cubic root of 252238434 is about 631.8351079333.

The spelling of 252238434 in words is "two hundred fifty-two million, two hundred thirty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 251 337 426 497 502 674 753 994 1011 1491 1506 1757 2022 2359 2982 3514 4718 5271 7077 10542 14154 17821 23927 35642 47854 53463 71781 84587 106926 124747 143562 167489 169174 249494 253761 334978 374241 502467 507522 592109 748482 1004934 1184218 1776327 3552654 6005677 12011354 18017031 36034062 42039739 84079478 126119217 252238434