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2028283488 = 253271191463
BaseRepresentation
bin111100011100101…
…0010011001100000
312020100120110212200
41320321102121200
513123220032423
6533133053200
7101156060640
oct17071223140
95210513780
102028283488
11950a05450
12487327200
1326429ac5a
1415353c520
15bd0ecd43
hex78e52660

2028283488 has 144 divisors (see below), whose sum is σ = 7191265536. Its totient is φ = 526821120.

The previous prime is 2028283487. The next prime is 2028283559. The reversal of 2028283488 is 8843828202.

It is a happy number.

2028283488 is a `hidden beast` number, since 20 + 282 + 8 + 348 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×20282834882 = 8227867815386892288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028283487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23556 + ... + 67907.

It is an arithmetic number, because the mean of its divisors is an integer number (49939344).

Almost surely, 22028283488 is an apocalyptic number.

2028283488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2028283488 is an abundant number, since it is smaller than the sum of its proper divisors (5162982048).

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

2028283488 is a wasteful number, since it uses less digits than its factorization.

2028283488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91497 (or 91486 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 2028283488 is about 45036.4684228237. The cubic root of 2028283488 is about 1265.8324314202.

The spelling of 2028283488 in words is "two billion, twenty-eight million, two hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 91463 182926 274389 365852 548778 640241 731704 823167 1006093 1097556 1280482 1463408 1646334 1920723 2012186 2195112 2560964 2926816 3018279 3292668 3841446 4024372 4390224 5121928 5762169 6036558 6585336 7042651 7682892 8048744 8780448 9054837 10243856 11524338 12073116 13170672 14085302 15365784 16097488 18109674 20487712 21127953 23048676 24146232 26341344 28170604 30731568 32194976 36219348 42255906 46097352 48292464 56341208 61463136 63383859 72438696 84511812 92194704 96584928 112682416 126767718 144877392 169023624 184389408 225364832 253535436 289754784 338047248 507070872 676094496 1014141744 2028283488