Search a number
-
+
520097472 = 26322293943
BaseRepresentation
bin11111000000000…
…000111011000000
31100020122200121100
4133000000323000
52031121104342
6123335254400
715613520106
oct3700007300
91306580540
10520097472
11247643a24
1212621a400
13839a09ab
144d107c76
15309d7e4c
hex1f000ec0

520097472 has 84 divisors (see below), whose sum is σ = 1497655120. Its totient is φ = 172564992.

The previous prime is 520097437. The next prime is 520097489. The reversal of 520097472 is 274790025.

520097472 is a `hidden beast` number, since 520 + 0 + 97 + 47 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 129933 + ... + 133875.

Almost surely, 2520097472 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 520097472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748827560).

520097472 is an abundant number, since it is smaller than the sum of its proper divisors (977557648).

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

520097472 is a wasteful number, since it uses less digits than its factorization.

520097472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 520097472 is about 22805.6456168204. The cubic root of 520097472 is about 804.1953932174.

The spelling of 520097472 in words is "five hundred twenty million, ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 229 288 458 576 687 916 1374 1832 2061 2748 3664 3943 4122 5496 7328 7886 8244 10992 11829 14656 15772 16488 21984 23658 31544 32976 35487 43968 47316 63088 65952 70974 94632 126176 131904 141948 189264 252352 283896 378528 567792 757056 902947 1135584 1805894 2271168 2708841 3611788 5417682 7223576 8126523 10835364 14447152 16253046 21670728 28894304 32506092 43341456 57788608 65012184 86682912 130024368 173365824 260048736 520097472