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5332968 = 2332174357
BaseRepresentation
bin10100010101111111101000
3101000221110100
4110111333220
52331123333
6310145400
763221004
oct24257750
911027410
105332968
113012813
121952260
131149504
149cb704
15705213
hex515fe8

5332968 has 48 divisors (see below), whose sum is σ = 15296580. Its totient is φ = 1672704.

The previous prime is 5332967. The next prime is 5332973. The reversal of 5332968 is 8692335.

It can be written as a sum of positive squares in 2 ways, for example, as 3992004 + 1340964 = 1998^2 + 1158^2 .

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 54 + 38 + 314 + 22 + 93 + 67 + 86 .

It is not an unprimeable number, because it can be changed into a prime (5332967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 955 + ... + 3402.

Almost surely, 25332968 is an apocalyptic number.

It is an amenable number.

5332968 is an abundant number, since it is smaller than the sum of its proper divisors (9963612).

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

5332968 is a wasteful number, since it uses less digits than its factorization.

5332968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4379 counting only the distinct ones).

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

The square root of 5332968 is about 2309.3219784170. The cubic root of 5332968 is about 174.7121035054.

The spelling of 5332968 in words is "five million, three hundred thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 4357 8714 13071 17428 26142 34856 39213 52284 74069 78426 104568 148138 156852 222207 296276 313704 444414 592552 666621 888828 1333242 1777656 2666484 5332968