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5307232 = 257192943
BaseRepresentation
bin10100001111101101100000
3100222122011011
4110033231200
52324312412
6305430304
763052660
oct24175540
910878134
105307232
112aa5447
12193b394
13113a898
149c21a0
156ec7a7
hex50fb60

5307232 has 96 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 2032128.

The previous prime is 5307229. The next prime is 5307233. The reversal of 5307232 is 2327035.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5307233) 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, 123403 + ... + 123445.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

Almost surely, 25307232 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 5307232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

5307232 is an abundant number, since it is smaller than the sum of its proper divisors (7998368).

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

5307232 is a wasteful number, since it uses less digits than its factorization.

5307232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 5307232 is about 2303.7430412266. The cubic root of 5307232 is about 174.4306065297.

The spelling of 5307232 in words is "five million, three hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 43 56 58 76 86 112 116 133 152 172 203 224 232 266 301 304 344 406 464 532 551 602 608 688 812 817 928 1064 1102 1204 1247 1376 1624 1634 2128 2204 2408 2494 3248 3268 3857 4256 4408 4816 4988 5719 6496 6536 7714 8729 8816 9632 9976 11438 13072 15428 17458 17632 19952 22876 23693 26144 30856 34916 39904 45752 47386 61712 69832 91504 94772 123424 139664 165851 183008 189544 279328 331702 379088 663404 758176 1326808 2653616 5307232