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2056035528 = 2333411791297
BaseRepresentation
bin111101010001100…
…1001110011001000
312022021210102112000
41322203021303020
513202321114103
6540003551000
7101644004451
oct17243116310
95267712460
102056035528
1196563aa18
1249468b460
13269c66991
141570c4128
15c0780aa3
hex7a8c9cc8

2056035528 has 128 divisors (see below), whose sum is σ = 5887728000. Its totient is φ = 664381440.

The previous prime is 2056035523. The next prime is 2056035551. The reversal of 2056035528 is 8255306502.

It is a happy number.

2056035528 is a `hidden beast` number, since 20 + 5 + 603 + 5 + 5 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2056035492 and 2056035501.

It is not an unprimeable number, because it can be changed into a prime (2056035523) 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, 1584576 + ... + 1585872.

It is an arithmetic number, because the mean of its divisors is an integer number (45997875).

Almost surely, 22056035528 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 2056035528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943864000).

2056035528 is an abundant number, since it is smaller than the sum of its proper divisors (3831692472).

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

2056035528 is a wasteful number, since it uses less digits than its factorization.

2056035528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2056035528 is about 45343.5279615515. The cubic root of 2056035528 is about 1271.5795602267.

The spelling of 2056035528 in words is "two billion, fifty-six million, thirty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 179 216 246 328 358 369 492 537 716 738 984 1074 1107 1297 1432 1476 1611 2148 2214 2594 2952 3222 3891 4296 4428 4833 5188 6444 7339 7782 8856 9666 10376 11673 12888 14678 15564 19332 22017 23346 29356 31128 35019 38664 44034 46692 53177 58712 66051 70038 88068 93384 106354 132102 140076 159531 176136 198153 212708 232163 264204 280152 319062 396306 425416 464326 478593 528408 638124 696489 792612 928652 957186 1276248 1392978 1435779 1585224 1857304 1914372 2089467 2785956 2871558 3828744 4178934 5571912 5743116 6268401 8357868 9518683 11486232 12536802 16715736 19037366 25073604 28556049 38074732 50147208 57112098 76149464 85668147 114224196 171336294 228448392 257004441 342672588 514008882 685345176 1028017764 2056035528