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4628052 = 223211132931
BaseRepresentation
bin10001101001111001010100
322201010111100
4101221321110
52141044202
6243110100
754223602
oct21517124
98633440
104628052
112681140
121672330
13c606c0
14886872
1561641c
hex469e54

4628052 has 144 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 1209600.

The previous prime is 4628051. The next prime is 4628069. The reversal of 4628052 is 2508264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628051) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 149277 + ... + 149307.

It is an arithmetic number, because the mean of its divisors is an integer number (101920).

Almost surely, 24628052 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 4628052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

4628052 is an abundant number, since it is smaller than the sum of its proper divisors (10048428).

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

4628052 is a wasteful number, since it uses less digits than its factorization.

4628052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4628052 is about 2151.2907753254. The cubic root of 4628052 is about 166.6477329603.

The spelling of 4628052 in words is "four million, six hundred twenty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 29 31 33 36 39 44 52 58 62 66 78 87 93 99 116 117 124 132 143 156 174 186 198 234 261 279 286 319 341 348 372 377 396 403 429 468 522 558 572 638 682 754 806 858 899 957 1023 1044 1116 1131 1209 1276 1287 1364 1508 1612 1716 1798 1914 2046 2262 2418 2574 2697 2871 3069 3393 3596 3627 3828 4092 4147 4433 4524 4836 5148 5394 5742 6138 6786 7254 8091 8294 8866 9889 10788 11484 11687 12276 12441 13299 13572 14508 16182 16588 17732 19778 23374 24882 26598 29667 32364 35061 37323 39556 39897 46748 49764 53196 59334 70122 74646 79794 89001 105183 118668 128557 140244 149292 159588 178002 210366 257114 356004 385671 420732 514228 771342 1157013 1542684 2314026 4628052