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5329368 = 2333112243
BaseRepresentation
bin10100010101000111011000
3101000202112000
4110111013120
52331014433
6310121000
763204342
oct24250730
911022460
105329368
113010040
121950160
131147995
149ca292
15704113
hex5151d8

5329368 has 64 divisors (see below), whose sum is σ = 16156800. Its totient is φ = 1614240.

The previous prime is 5329351. The next prime is 5329397. The reversal of 5329368 is 8639235.

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

It is a d-powerful number, because it can be written as 52 + 37 + 218 + 97 + 39 + 63 + 86 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1255 + ... + 3497.

It is an arithmetic number, because the mean of its divisors is an integer number (252450).

Almost surely, 25329368 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 5329368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078400).

5329368 is an abundant number, since it is smaller than the sum of its proper divisors (10827432).

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

5329368 is a wasteful number, since it uses less digits than its factorization.

5329368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2259 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 5329368 is about 2308.5423972715. The cubic root of 5329368 is about 174.6727817398.

It can be divided in two parts, 53293 and 68, that added together give a square (53361 = 2312).

The spelling of 5329368 in words is "five million, three hundred twenty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2243 2376 4486 6729 8972 13458 17944 20187 24673 26916 40374 49346 53832 60561 74019 80748 98692 121122 148038 161496 197384 222057 242244 296076 444114 484488 592152 666171 888228 1332342 1776456 2664684 5329368