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5252016 = 243731129
BaseRepresentation
bin10100000010001110110000
3100212211102010
4110002032300
52321031031
6304322520
762433000
oct24021660
910784363
105252016
112a67a10
121913440
13111b703
149aa000
156db246
hex5023b0

5252016 has 160 divisors (see below), whose sum is σ = 17856000. Its totient is φ = 1317120.

The previous prime is 5252011. The next prime is 5252017. The reversal of 5252016 is 6102525.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5251983 and 5252001.

It is not an unprimeable number, because it can be changed into a prime (5252011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181090 + ... + 181118.

It is an arithmetic number, because the mean of its divisors is an integer number (111600).

Almost surely, 25252016 is an apocalyptic number.

5252016 is a gapful number since it is divisible by the number (56) 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 5252016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928000).

5252016 is an abundant number, since it is smaller than the sum of its proper divisors (12603984).

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

5252016 is a wasteful number, since it uses less digits than its factorization.

5252016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5252016 is about 2291.7277325197. The cubic root of 5252016 is about 173.8235759679.

The spelling of 5252016 in words is "five million, two hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 33 42 44 48 49 56 58 66 77 84 87 88 98 112 116 132 147 154 168 174 176 196 203 231 232 264 294 308 319 336 343 348 392 406 462 464 528 539 588 609 616 638 686 696 784 812 924 957 1029 1078 1176 1218 1232 1276 1372 1392 1421 1617 1624 1848 1914 2058 2156 2233 2352 2436 2552 2744 2842 3234 3248 3696 3773 3828 4116 4263 4312 4466 4872 5104 5488 5684 6468 6699 7546 7656 8232 8526 8624 8932 9744 9947 11319 11368 12936 13398 15092 15312 15631 16464 17052 17864 19894 22638 22736 25872 26796 29841 30184 31262 34104 35728 39788 45276 46893 53592 59682 60368 62524 68208 79576 90552 93786 107184 109417 119364 125048 159152 181104 187572 218834 238728 250096 328251 375144 437668 477456 656502 750288 875336 1313004 1750672 2626008 5252016