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5192432 = 247237179
BaseRepresentation
bin10011110011101011110000
3100202210200022
4103303223300
52312124212
6303143012
762064200
oct23635360
910683608
105192432
112a27173
1218a4a68
1310ca55b
14992400
156c8772
hex4f3af0

5192432 has 60 divisors (see below), whose sum is σ = 12086280. Its totient is φ = 2153088.

The previous prime is 5192399. The next prime is 5192441. The reversal of 5192432 is 2342915.

It is a super-2 number, since 2×51924322 = 53922700149248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 28919 + ... + 29097.

It is an arithmetic number, because the mean of its divisors is an integer number (201438).

Almost surely, 25192432 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 5192432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043140).

5192432 is an abundant number, since it is smaller than the sum of its proper divisors (6893848).

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

5192432 is a wasteful number, since it uses less digits than its factorization.

5192432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 5192432 is about 2278.6908522220. The cubic root of 5192432 is about 173.1637328569.

The spelling of 5192432 in words is "five million, one hundred ninety-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 179 196 259 296 358 392 518 592 716 784 1036 1253 1432 1813 2072 2506 2864 3626 4144 5012 6623 7252 8771 10024 13246 14504 17542 20048 26492 29008 35084 46361 52984 70168 92722 105968 140336 185444 324527 370888 649054 741776 1298108 2596216 5192432