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2045628 = 2233133147
BaseRepresentation
bin111110011011010111100
310211221002000
413303122330
51010430003
6111502300
723246634
oct7633274
93757060
102045628
111177a02
12827990
13568140
143b36c4
152a61a3
hex1f36bc

2045628 has 96 divisors (see below), whose sum is σ = 6021120. Its totient is φ = 596160.

The previous prime is 2045611. The next prime is 2045629. The reversal of 2045628 is 8265402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045629) 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, 43501 + ... + 43547.

It is an arithmetic number, because the mean of its divisors is an integer number (62720).

22045628 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 2045628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010560).

2045628 is an abundant number, since it is smaller than the sum of its proper divisors (3975492).

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

2045628 is a wasteful number, since it uses less digits than its factorization.

2045628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

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

The square root of 2045628 is about 1430.2545228035. The cubic root of 2045628 is about 126.9430376744.

It can be divided in two parts, 204 and 5628, that added together give a cube (5832 = 183).

The spelling of 2045628 in words is "two million, forty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 47 52 54 62 78 93 94 108 117 124 141 156 186 188 234 279 282 351 372 403 423 468 558 564 611 702 806 837 846 1116 1209 1222 1269 1404 1457 1612 1674 1692 1833 2418 2444 2538 2914 3348 3627 3666 4371 4836 5076 5499 5828 7254 7332 8742 10881 10998 13113 14508 16497 17484 18941 21762 21996 26226 32994 37882 39339 43524 52452 56823 65988 75764 78678 113646 157356 170469 227292 340938 511407 681876 1022814 2045628