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5335884 = 22321929269
BaseRepresentation
bin10100010110101101001100
3101001002110100
4110112231030
52331222014
6310211100
763232341
oct24265514
911032410
105335884
113014a24
121953a90
13114a938
149cc7c8
15706009
hex516b4c

5335884 has 72 divisors (see below), whose sum is σ = 14742000. Its totient is φ = 1620864.

The previous prime is 5335879. The next prime is 5335919. The reversal of 5335884 is 4885335.

It is a super-2 number, since 2×53358842 = 56943316122912, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 19702 + ... + 19970.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 25335884 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 5335884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371000).

5335884 is an abundant number, since it is smaller than the sum of its proper divisors (9406116).

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

5335884 is a wasteful number, since it uses less digits than its factorization.

5335884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 322 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5335884 is about 2309.9532462801. The cubic root of 5335884 is about 174.7439411654.

It can be divided in two parts, 53 and 35884, that added together give a cube (35937 = 333).

The spelling of 5335884 in words is "five million, three hundred thirty-five thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 269 342 348 522 538 551 684 807 1044 1076 1102 1614 1653 2204 2421 3228 3306 4842 4959 5111 6612 7801 9684 9918 10222 15333 15602 19836 20444 23403 30666 31204 45999 46806 61332 70209 91998 93612 140418 148219 183996 280836 296438 444657 592876 889314 1333971 1778628 2667942 5335884