Search a number
-
+
517945372 = 227231017963
BaseRepresentation
bin11110110111110…
…011100000011100
31100002121100110221
4132313303200130
52030043222442
6123221211124
715556314550
oct3667634034
91302540427
10517945372
1124640402a
12125560aa4
13833c9269
144cb07860
1530710467
hex1edf381c

517945372 has 48 divisors (see below), whose sum is σ = 1091768832. Its totient is φ = 210196800.

The previous prime is 517945369. The next prime is 517945387. The reversal of 517945372 is 273549715.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 61063 + ... + 69025.

It is an arithmetic number, because the mean of its divisors is an integer number (22745184).

Almost surely, 2517945372 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 517945372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545884416).

517945372 is an abundant number, since it is smaller than the sum of its proper divisors (573823460).

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

517945372 is a wasteful number, since it uses less digits than its factorization.

517945372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098 (or 8096 counting only the distinct ones).

The product of its digits is 264600, while the sum is 43.

The square root of 517945372 is about 22758.4132135788. The cubic root of 517945372 is about 803.0846388837.

The spelling of 517945372 in words is "five hundred seventeen million, nine hundred forty-five thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 23 28 46 92 101 161 202 322 404 644 707 1414 2323 2828 4646 7963 9292 15926 16261 31852 32522 55741 65044 111482 183149 222964 366298 732596 804263 1282043 1608526 2564086 3217052 5128172 5629841 11259682 18498049 22519364 36996098 73992196 129486343 258972686 517945372