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252504042 = 237149157257
BaseRepresentation
bin11110000110011…
…10011111101010
3122121010112102120
433003032133222
51004120112132
641020012110
76154151250
oct1703163752
9577115376
10252504042
1111a59402a
1270691036
134040b39b
142576c5d0
151727b02c
hexf0ce7ea

252504042 has 64 divisors (see below), whose sum is σ = 587001600. Its totient is φ = 70926336.

The previous prime is 252504019. The next prime is 252504047. The reversal of 252504042 is 240405252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (252504047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982378 + ... + 982634.

It is an arithmetic number, because the mean of its divisors is an integer number (9171900).

Almost surely, 2252504042 is an apocalyptic number.

252504042 is an abundant number, since it is smaller than the sum of its proper divisors (334497558).

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

252504042 is a wasteful number, since it uses less digits than its factorization.

252504042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575.

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 252504042 is about 15890.3757664821. The cubic root of 252504042 is about 632.0568050341.

Adding to 252504042 its reverse (240405252), we get a palindrome (492909294).

It can be divided in two parts, 25250 and 4042, that added together give a palindrome (29292).

The spelling of 252504042 in words is "two hundred fifty-two million, five hundred four thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 149 157 257 298 314 447 471 514 771 894 942 1043 1099 1542 1799 2086 2198 3129 3297 3598 5397 6258 6594 10794 23393 38293 40349 46786 70179 76586 80698 114879 121047 140358 163751 229758 242094 268051 282443 327502 491253 536102 564886 804153 847329 982506 1608306 1694658 6012001 12024002 18036003 36072006 42084007 84168014 126252021 252504042