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2490246528 = 27371184221
BaseRepresentation
bin1001010001101110…
…0010010110000000
320102112211122000220
42110123202112000
520100000342103
61051034343040
7115465513650
oct22433422600
96375748026
102490246528
111068752090
12595b8aa80
13308bc5b73
14198a32360
15e8950c53
hex946e2580

2490246528 has 128 divisors (see below), whose sum is σ = 8247018240. Its totient is φ = 646809600.

The previous prime is 2490246511. The next prime is 2490246569. The reversal of 2490246528 is 8256420942.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a cake number, because a cake can be divided into 2490246528 parts by 2463 planar cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 2490246528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12543 + ... + 71678.

It is an arithmetic number, because the mean of its divisors is an integer number (64429830).

Almost surely, 22490246528 is an apocalyptic number.

2490246528 is a gapful number since it is divisible by the number (28) 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 2490246528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123509120).

2490246528 is an abundant number, since it is smaller than the sum of its proper divisors (5756771712).

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

2490246528 is a wasteful number, since it uses less digits than its factorization.

2490246528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84256 (or 84244 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2490246528 is about 49902.3699637602. The cubic root of 2490246528 is about 1355.4415082448.

It can be divided in two parts, 249024 and 6528, that added together give a palindrome (255552).

The spelling of 2490246528 in words is "two billion, four hundred ninety million, two hundred forty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 9856 14784 29568 84221 168442 252663 336884 505326 589547 673768 926431 1010652 1179094 1347536 1768641 1852862 2021304 2358188 2695072 2779293 3537282 3705724 4042608 4716376 5390144 5558586 6485017 7074564 7411448 8085216 9432752 10780288 11117172 12970034 14149128 14822896 16170432 18865504 19455051 22234344 25940068 28298256 29645792 32340864 37731008 38910102 44468688 51880136 56596512 59291584 75462016 77820204 88937376 103760272 113193024 118583168 155640408 177874752 207520544 226386048 311280816 355749504 415041088 622561632 830082176 1245123264 2490246528