Search a number
-
+
4628016 = 24343571
BaseRepresentation
bin10001101001111000110000
322201010110000
4101221320300
52141044031
6243110000
754223521
oct21517060
98633400
104628016
112681108
121672300
13c60693
14886848
156163e6
hex469e30

4628016 has 50 divisors (see below), whose sum is σ = 13398572. Its totient is φ = 1542240.

The previous prime is 4628003. The next prime is 4628017. The reversal of 4628016 is 6108264.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4628017) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 490 + ... + 3081.

Almost surely, 24628016 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 4628016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699286).

4628016 is an abundant number, since it is smaller than the sum of its proper divisors (8770556).

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

4628016 is a wasteful number, since it uses less digits than its factorization.

4628016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4628016 is about 2151.2824082393. The cubic root of 4628016 is about 166.6473008610.

The spelling of 4628016 in words is "four million, six hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3571 7142 10713 14284 21426 28568 32139 42852 57136 64278 85704 96417 128556 171408 192834 257112 289251 385668 514224 578502 771336 1157004 1542672 2314008 4628016