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5383924 = 2272132113
BaseRepresentation
bin10100100010011011110100
3101010112100121
4110202123310
52334241144
6311221324
763522400
oct24423364
911115317
105383924
113048027
121977844
131166770
14a02100
15715384
hex5226f4

5383924 has 36 divisors (see below), whose sum is σ = 11808804. Its totient is φ = 2128896.

The previous prime is 5383871. The next prime is 5383943. The reversal of 5383924 is 4293835.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 240100 + 5143824 = 490^2 + 2268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5383924.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1492 + ... + 3604.

Almost surely, 25383924 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 5383924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904402).

5383924 is an abundant number, since it is smaller than the sum of its proper divisors (6424880).

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

5383924 is a wasteful number, since it uses less digits than its factorization.

5383924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2135 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 5383924 is about 2320.3284250295. The cubic root of 5383924 is about 175.2667930588.

It can be divided in two parts, 538 and 3924, that multiplied together give a palindrome (2111112).

The spelling of 5383924 in words is "five million, three hundred eighty-three thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2113 2548 4226 8452 14791 27469 29582 54938 59164 103537 109876 192283 207074 384566 414148 769132 1345981 2691962 5383924