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5232192 = 263717229
BaseRepresentation
bin10011111101011001000000
3100211211012220
4103331121000
52314412232
6304051040
762321130
oct23753100
910754186
105232192
112a54029
121903a80
131112694
149a2ac0
156d542c
hex4fd640

5232192 has 112 divisors (see below), whose sum is σ = 16824960. Its totient is φ = 1400832.

The previous prime is 5232187. The next prime is 5232223. The reversal of 5232192 is 2912325.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 22734 + ... + 22962.

Almost surely, 25232192 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 5232192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8412480).

5232192 is an abundant number, since it is smaller than the sum of its proper divisors (11592768).

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

5232192 is a wasteful number, since it uses less digits than its factorization.

5232192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 5232192 is about 2287.3985223393. The cubic root of 5232192 is about 173.6045982628.

The spelling of 5232192 in words is "five million, two hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 229 238 272 336 357 408 448 458 476 544 672 687 714 816 916 952 1088 1344 1374 1428 1603 1632 1832 1904 2748 2856 3206 3264 3664 3808 3893 4809 5496 5712 6412 7328 7616 7786 9618 10992 11424 11679 12824 14656 15572 19236 21984 22848 23358 25648 27251 31144 38472 43968 46716 51296 54502 62288 76944 81753 93432 102592 109004 124576 153888 163506 186864 218008 249152 307776 327012 373728 436016 654024 747456 872032 1308048 1744064 2616096 5232192