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513968344 = 231731121909
BaseRepresentation
bin11110101000101…
…000100011011000
31022211010022000121
4132220220203120
52023033441334
6123000043024
715510441661
oct3650504330
91284108017
10513968344
1124413802a
12124163474
1382635ca6
144c390368
15301c6db4
hex1ea288d8

513968344 has 32 divisors (see below), whose sum is σ = 1053302400. Its totient is φ = 234063360.

The previous prime is 513968341. The next prime is 513968381. The reversal of 513968344 is 443869315.

It is a self number, because there is not a number n which added to its sum of digits gives 513968344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513968341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56739 + ... + 65170.

It is an arithmetic number, because the mean of its divisors is an integer number (32915700).

Almost surely, 2513968344 is an apocalyptic number.

It is an amenable number.

513968344 is an abundant number, since it is smaller than the sum of its proper divisors (539334056).

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

513968344 is a wasteful number, since it uses less digits than its factorization.

513968344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121963 (or 121959 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The square root of 513968344 is about 22670.8699436083. The cubic root of 513968344 is about 801.0238682250.

The spelling of 513968344 in words is "five hundred thirteen million, nine hundred sixty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 8 17 31 34 62 68 124 136 248 527 1054 2108 4216 121909 243818 487636 975272 2072453 3779179 4144906 7558358 8289812 15116716 16579624 30233432 64246043 128492086 256984172 513968344