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507112112 = 24131012239
BaseRepresentation
bin11110001110011…
…110101010110000
31022100012222001002
4132032132222300
52014310041422
6122153101132
715365244653
oct3616365260
91270188032
10507112112
11240284921
121219b77a8
13810a5350
144b4c789a
152e7c0692
hex1e39eab0

507112112 has 60 divisors (see below), whose sum is σ = 1073160480. Its totient is φ = 230764800.

The previous prime is 507112097. The next prime is 507112127. The reversal of 507112112 is 211211705.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (507112097) and next prime (507112127).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2121689 + ... + 2121927.

It is an arithmetic number, because the mean of its divisors is an integer number (17886008).

Almost surely, 2507112112 is an apocalyptic number.

507112112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536580240).

507112112 is an abundant number, since it is smaller than the sum of its proper divisors (566048368).

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

507112112 is a wasteful number, since it uses less digits than its factorization.

507112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 507112112 is about 22519.1498951448. The cubic root of 507112112 is about 797.4460805453.

Adding to 507112112 its reverse (211211705), we get a palindrome (718323817).

The spelling of 507112112 in words is "five hundred seven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 101 104 202 208 239 404 478 808 956 1313 1616 1912 2626 3107 3824 5252 6214 10201 10504 12428 20402 21008 24139 24856 40804 48278 49712 81608 96556 132613 163216 193112 265226 313807 386224 530452 627614 1060904 1255228 2121808 2438039 2510456 4876078 5020912 9752156 19504312 31694507 39008624 63389014 126778028 253556056 507112112