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524399424 = 2634316337
BaseRepresentation
bin11111010000011…
…011001101000000
31100112202020202220
4133100123031000
52033221240144
6124011411040
715665215203
oct3720331500
91315666686
10524399424
1124a01205a
12127753a80
1384848b23
144d90793a
1531087919
hex1f41b340

524399424 has 56 divisors (see below), whose sum is σ = 1390912128. Its totient is φ = 174366720.

The previous prime is 524399417. The next prime is 524399429. The reversal of 524399424 is 424993425.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524399429) 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, 79584 + ... + 85920.

Almost surely, 2524399424 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 524399424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695456064).

524399424 is an abundant number, since it is smaller than the sum of its proper divisors (866512704).

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

524399424 is a wasteful number, since it uses less digits than its factorization.

524399424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783 (or 6773 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 524399424 is about 22899.7690818052. The cubic root of 524399424 is about 806.4065908695.

The spelling of 524399424 in words is "five hundred twenty-four million, three hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 431 862 1293 1724 2586 3448 5172 6337 6896 10344 12674 13792 19011 20688 25348 27584 38022 41376 50696 76044 82752 101392 152088 202784 304176 405568 608352 1216704 2731247 5462494 8193741 10924988 16387482 21849976 32774964 43699952 65549928 87399904 131099856 174799808 262199712 524399424