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5035824 = 243311657
BaseRepresentation
bin10011001101011100110000
3100110211212000
4103031130300
52242121244
6255534000
760542463
oct23153460
910424760
105035824
11292a542
12182a300
1310741a1
149512da
15697169
hex4cd730

5035824 has 40 divisors (see below), whose sum is σ = 14455920. Its totient is φ = 1678464.

The previous prime is 5035819. The next prime is 5035841. The reversal of 5035824 is 4285305.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5397 + ... + 6260.

It is an arithmetic number, because the mean of its divisors is an integer number (361398).

Almost surely, 25035824 is an apocalyptic number.

5035824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5035824 is an abundant number, since it is smaller than the sum of its proper divisors (9420096).

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

5035824 is a wasteful number, since it uses less digits than its factorization.

5035824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11674 (or 11662 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5035824 is about 2244.0641702055. The cubic root of 5035824 is about 171.4050110478.

The spelling of 5035824 in words is "five million, thirty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 11657 23314 34971 46628 69942 93256 104913 139884 186512 209826 279768 314739 419652 559536 629478 839304 1258956 1678608 2517912 5035824