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9876254040 = 23325173152057
BaseRepresentation
bin10010011001010101…
…11010110101011000
3221111021220200120200
421030222322311120
5130211310112130
64312002222200
7466512526362
oct111452726530
927437820520
109876254040
114208984924
121ab7654960
13c15181503
1469994dd32
153cc0b7760
hex24cabad58

9876254040 has 192 divisors, whose sum is σ = 35082927360. Its totient is φ = 2398740480.

The previous prime is 9876254033. The next prime is 9876254081. The reversal of 9876254040 is 404526789.

It is a happy number.

9876254040 is a `hidden beast` number, since 9 + 8 + 7 + 62 + 540 + 40 = 666.

9876254040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 163692 + ... + 215748.

It is an arithmetic number, because the mean of its divisors is an integer number (182723580).

Almost surely, 29876254040 is an apocalyptic number.

9876254040 is a gapful number since it is divisible by the number (90) 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 9876254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17541463680).

9876254040 is an abundant number, since it is smaller than the sum of its proper divisors (25206673320).

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

9876254040 is a wasteful number, since it uses less digits than its factorization.

9876254040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52122 (or 52115 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 9876254040 is about 99379.3441314643. The cubic root of 9876254040 is about 2145.5110263025.

The spelling of 9876254040 in words is "nine billion, eight hundred seventy-six million, two hundred fifty-four thousand, forty".