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2499400152 = 233431312323
BaseRepresentation
bin1001010011111001…
…1101000111011000
320110012001200110000
42110332131013120
520104321301102
61052002453000
7115636356624
oct22476350730
96405050400
102499400152
111072934367
12599064160
1330aa7c402
14199d36184
15e965d01c
hex94f9d1d8

2499400152 has 80 divisors (see below), whose sum is σ = 7023570840. Its totient is φ = 830404224.

The previous prime is 2499400151. The next prime is 2499400157. The reversal of 2499400152 is 2510049942.

2499400152 is a `hidden beast` number, since 249 + 9 + 400 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×24994001522 = 12494002239635246208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2499400151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196663 + ... + 208985.

Almost surely, 22499400152 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 2499400152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511785420).

2499400152 is an abundant number, since it is smaller than the sum of its proper divisors (4524170688).

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

2499400152 is a wasteful number, since it uses less digits than its factorization.

2499400152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12654 (or 12641 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2499400152 is about 49994.0011601392. The cubic root of 2499400152 is about 1357.1002504160.

The spelling of 2499400152 in words is "two billion, four hundred ninety-nine million, four hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 313 324 626 648 939 1252 1878 2504 2817 3756 5634 7512 8451 11268 12323 16902 22536 24646 25353 33804 36969 49292 50706 67608 73938 98584 101412 110907 147876 202824 221814 295752 332721 443628 665442 887256 998163 1330884 1996326 2661768 3857099 3992652 7714198 7985304 11571297 15428396 23142594 30856792 34713891 46285188 69427782 92570376 104141673 138855564 208283346 277711128 312425019 416566692 624850038 833133384 1249700076 2499400152