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627642112 = 2853167277
BaseRepresentation
bin100101011010010…
…000111100000000
31121202000112010011
4211122100330000
52241134021422
6142140314304
721360604246
oct4532207400
91552015104
10627642112
112a2318899
12156242994
13a0056586
145d500796
153a17d077
hex25690f00

627642112 has 72 divisors (see below), whose sum is σ = 1288750176. Its totient is φ = 304951296.

The previous prime is 627642107. The next prime is 627642133. The reversal of 627642112 is 211246726.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2265718 + ... + 2265994.

It is an arithmetic number, because the mean of its divisors is an integer number (17899308).

Almost surely, 2627642112 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 627642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644375088).

627642112 is an abundant number, since it is smaller than the sum of its proper divisors (661108064).

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

627642112 is a wasteful number, since it uses less digits than its factorization.

627642112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 627642112 is about 25052.7865116837. The cubic root of 627642112 is about 856.1910657432.

Adding to 627642112 its reverse (211246726), we get a palindrome (838888838).

The spelling of 627642112 in words is "six hundred twenty-seven million, six hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 128 167 212 256 277 334 424 554 668 848 1108 1336 1696 2216 2672 3392 4432 5344 6784 8851 8864 10688 13568 14681 17702 17728 21376 29362 35404 35456 42752 46259 58724 70808 70912 92518 117448 141616 185036 234896 283232 370072 469792 566464 740144 939584 1132928 1480288 1879168 2265856 2451727 2960576 3758336 4903454 5921152 9806908 11842304 19613816 39227632 78455264 156910528 313821056 627642112