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5932472 = 2371329281
BaseRepresentation
bin10110101000010110111000
3102011101211012
4112220112320
53004314342
6331053052
7101265560
oct26502670
912141735
105932472
113392177
121ba1188
1312c9350
14b05da0
157c2b82
hex5a85b8

5932472 has 64 divisors (see below), whose sum is σ = 14212800. Its totient is φ = 2257920.

The previous prime is 5932457. The next prime is 5932477. The reversal of 5932472 is 2742395.

It is a happy number.

It is a d-powerful number, because it can be written as 59 + 93 + 313 + 213 + 49 + 75 + 221 .

Its product of digits (15120) is a multiple of the sum of its prime factors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5932477) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20972 + ... + 21252.

It is an arithmetic number, because the mean of its divisors is an integer number (222075).

Almost surely, 25932472 is an apocalyptic number.

5932472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5932472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106400).

5932472 is an abundant number, since it is smaller than the sum of its proper divisors (8280328).

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

5932472 is a wasteful number, since it uses less digits than its factorization.

5932472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 5932472 is about 2435.6666438575. Note that the first 4 decimals coincide. The cubic root of 5932472 is about 181.0277828398.

The spelling of 5932472 in words is "five million, nine hundred thirty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 116 182 203 232 281 364 377 406 562 728 754 812 1124 1508 1624 1967 2248 2639 3016 3653 3934 5278 7306 7868 8149 10556 14612 15736 16298 21112 25571 29224 32596 51142 57043 65192 102284 105937 114086 204568 211874 228172 423748 456344 741559 847496 1483118 2966236 5932472