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4031253252 = 2233136594357
BaseRepresentation
bin1111000001001000…
…0000101100000100
3101101221111212212000
43300102000230010
531224000101002
61504003425300
7201620041635
oct36022005404
911357455760
104031253252
1117895a0264
12946085230
134c3244c70
142a356b88c
15188d9a61c
hexf0480b04

4031253252 has 96 divisors (see below), whose sum is σ = 11275017600. Its totient is φ = 1238219136.

The previous prime is 4031253251. The next prime is 4031253301. The reversal of 4031253252 is 2523521304.

It is a happy number.

4031253252 is a `hidden beast` number, since 403 + 1 + 2 + 5 + 3 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4031253251) 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, 923058 + ... + 927414.

It is an arithmetic number, because the mean of its divisors is an integer number (117448100).

Almost surely, 24031253252 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 4031253252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637508800).

4031253252 is an abundant number, since it is smaller than the sum of its proper divisors (7243764348).

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

4031253252 is a wasteful number, since it uses less digits than its factorization.

4031253252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4031253252 is about 63492.1511054713. The cubic root of 4031253252 is about 1591.5246180637.

Adding to 4031253252 its reverse (2523521304), we get a palindrome (6554774556).

The spelling of 4031253252 in words is "four billion, thirty-one million, two hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 659 702 1318 1404 1977 2636 3954 4357 5931 7908 8567 8714 11862 13071 17134 17428 17793 23724 25701 26142 34268 35586 39213 51402 52284 56641 71172 77103 78426 102804 113282 117639 154206 156852 169923 226564 231309 235278 308412 339846 462618 470556 509769 679692 925236 1019538 1529307 2039076 2871263 3058614 5742526 6117228 8613789 11485052 17227578 25841367 34455156 37326419 51682734 74652838 77524101 103365468 111979257 149305676 155048202 223958514 310096404 335937771 447917028 671875542 1007813313 1343751084 2015626626 4031253252