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1313442872 = 237374115461
BaseRepresentation
bin100111001001001…
…1000110000111000
310101112110210220022
41032102120300320
510142220132442
6334155350012
744356036340
oct11622306070
93345423808
101313442872
1161444a085
12307a52308
1317c163941
14c661dd20
157a4983d2
hex4e498c38

1313442872 has 64 divisors (see below), whose sum is σ = 2961282240. Its totient is φ = 534297600.

The previous prime is 1313442841. The next prime is 1313442929. The reversal of 1313442872 is 2782443131.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 77222 + ... + 92682.

It is an arithmetic number, because the mean of its divisors is an integer number (46270035).

Almost surely, 21313442872 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 1313442872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480641120).

1313442872 is an abundant number, since it is smaller than the sum of its proper divisors (1647839368).

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

1313442872 is a wasteful number, since it uses less digits than its factorization.

1313442872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15552 (or 15548 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 1313442872 is about 36241.4523991520. The cubic root of 1313442872 is about 1095.1419016423.

The spelling of 1313442872 in words is "one billion, three hundred thirteen million, four hundred forty-two thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 37 41 56 74 82 148 164 259 287 296 328 518 574 1036 1148 1517 2072 2296 3034 6068 10619 12136 15461 21238 30922 42476 61844 84952 108227 123688 216454 432908 572057 633901 865816 1144114 1267802 2288228 2535604 4004399 4437307 4576456 5071208 8008798 8874614 16017596 17749228 23454337 32035192 35498456 46908674 93817348 164180359 187634696 328360718 656721436 1313442872