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2045854356 = 2237136130713
BaseRepresentation
bin111100111110001…
…0100001010010100
312021120122011120120
41321330110022110
513142214314411
6535001431540
7101461321650
oct17174241224
95246564516
102045854356
1195a916727
1249119b5b0
13267b10810
141559d3a60
15be91e106
hex79f14294

2045854356 has 96 divisors (see below), whose sum is σ = 5971784448. Its totient is φ = 530703360.

The previous prime is 2045854337. The next prime is 2045854373. The reversal of 2045854356 is 6534585402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51256 + ... + 81968.

It is an arithmetic number, because the mean of its divisors is an integer number (62206088).

Almost surely, 22045854356 is an apocalyptic number.

2045854356 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045854356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985892224).

2045854356 is an abundant number, since it is smaller than the sum of its proper divisors (3925930092).

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

2045854356 is a wasteful number, since it uses less digits than its factorization.

2045854356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30801 (or 30799 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The square root of 2045854356 is about 45231.1215425839. The cubic root of 2045854356 is about 1269.4771973430.

The spelling of 2045854356 in words is "two billion, forty-five million, eight hundred fifty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 61 78 84 91 122 156 182 183 244 273 364 366 427 546 732 793 854 1092 1281 1586 1708 2379 2562 3172 4758 5124 5551 9516 11102 16653 22204 30713 33306 61426 66612 92139 122852 184278 214991 368556 399269 429982 644973 798538 859964 1197807 1289946 1597076 1873493 2395614 2579892 2794883 3746986 4791228 5589766 5620479 7493972 8384649 11179532 11240958 13114451 16769298 22481916 24355409 26228902 33538596 39343353 48710818 52457804 73066227 78686706 97421636 146132454 157373412 170487863 292264908 340975726 511463589 681951452 1022927178 2045854356