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5291352 = 23331117131
BaseRepresentation
bin10100001011110101011000
3100221211101000
4110023311120
52323310402
6305225000
762655453
oct24136530
910854330
105291352
112a94520
121932160
1311335a1
149ba49a
156e7c1c
hex50bd58

5291352 has 128 divisors (see below), whose sum is σ = 17107200. Its totient is φ = 1497600.

The previous prime is 5291347. The next prime is 5291383. The reversal of 5291352 is 2531925.

5291352 is a `hidden beast` number, since 529 + 135 + 2 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 40327 + ... + 40457.

It is an arithmetic number, because the mean of its divisors is an integer number (133650).

Almost surely, 25291352 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 5291352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553600).

5291352 is an abundant number, since it is smaller than the sum of its proper divisors (11815848).

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

5291352 is a wasteful number, since it uses less digits than its factorization.

5291352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 5291352 is about 2300.2938942666. The cubic root of 5291352 is about 174.2564589177.

It can be divided in two parts, 529 and 1352, that added together give a palindrome (1881).

The spelling of 5291352 in words is "five million, two hundred ninety-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 131 132 136 153 187 198 204 216 262 264 297 306 374 393 396 408 459 524 561 594 612 748 786 792 918 1048 1122 1179 1188 1224 1441 1496 1572 1683 1836 2227 2244 2358 2376 2882 3144 3366 3537 3672 4323 4454 4488 4716 5049 5764 6681 6732 7074 8646 8908 9432 10098 11528 12969 13362 13464 14148 17292 17816 20043 20196 24497 25938 26724 28296 34584 38907 40086 40392 48994 51876 53448 60129 73491 77814 80172 97988 103752 120258 146982 155628 160344 195976 220473 240516 293964 311256 440946 481032 587928 661419 881892 1322838 1763784 2645676 5291352