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5146596 = 22327131571
BaseRepresentation
bin10011101000011111100100
3100200110210200
4103220133210
52304142341
6302150500
761513440
oct23503744
910613720
105146596
1129a5794
121882430
1310b2730
1497d820
156b9db6
hex4e87e4

5146596 has 72 divisors (see below), whose sum is σ = 16021824. Its totient is φ = 1356480.

The previous prime is 5146591. The next prime is 5146619. The reversal of 5146596 is 6956415.

5146596 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5146596.

It is not an unprimeable number, because it can be changed into a prime (5146591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2491 + ... + 4061.

Almost surely, 25146596 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 5146596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010912).

5146596 is an abundant number, since it is smaller than the sum of its proper divisors (10875228).

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

5146596 is a wasteful number, since it uses less digits than its factorization.

5146596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1596 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 5146596 is about 2268.6110288015. The cubic root of 5146596 is about 172.6526940355.

The spelling of 5146596 in words is "five million, one hundred forty-six thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1571 1638 3142 3276 4713 6284 9426 10997 14139 18852 20423 21994 28278 32991 40846 43988 56556 61269 65982 81692 98973 122538 131964 142961 183807 197946 245076 285922 367614 395892 428883 571844 735228 857766 1286649 1715532 2573298 5146596