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4628916 = 2232711811
BaseRepresentation
bin10001101010000110110100
322201011200100
4101222012310
52141111131
6243114100
754226245
oct21520664
98634610
104628916
112681856
121672930
13c60c06
14886ccc
156167e6
hex46a1b4

4628916 has 36 divisors (see below), whose sum is σ = 11872224. Its totient is φ = 1520400.

The previous prime is 4628891. The next prime is 4628917. The reversal of 4628916 is 6198264.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1651 + ... + 3461.

It is an arithmetic number, because the mean of its divisors is an integer number (329784).

Almost surely, 24628916 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 4628916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936112).

4628916 is an abundant number, since it is smaller than the sum of its proper divisors (7243308).

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

4628916 is a wasteful number, since it uses less digits than its factorization.

4628916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1887 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4628916 is about 2151.4915756284. The cubic root of 4628916 is about 166.6581026711.

The spelling of 4628916 in words is "four million, six hundred twenty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 1811 2556 3622 5433 7244 10866 16299 21732 32598 65196 128581 257162 385743 514324 771486 1157229 1542972 2314458 4628916