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8942250240 = 2832571117593
BaseRepresentation
bin10000101001111111…
…11110100100000000
3212002012102101020100
420110333332210000
5121303204001430
64035155242400
7434411605260
oct102477764400
925065371210
108942250240
113879737a60
1218968a9400
13ac6810641
1460b8a17a0
153750c0960
hex214ffe900

8942250240 has 864 divisors, whose sum is σ = 40911526656. Its totient is φ = 1745879040.

The previous prime is 8942250227. The next prime is 8942250241. The reversal of 8942250240 is 420522498.

8942250240 is a `hidden beast` number, since 8 + 94 + 22 + 502 + 40 = 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 = 8942250195 and 8942250204.

It is not an unprimeable number, because it can be changed into a prime (8942250241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15079384 + ... + 15079976.

It is an arithmetic number, because the mean of its divisors is an integer number (47351304).

Almost surely, 28942250240 is an apocalyptic number.

8942250240 is a gapful number since it is divisible by the number (80) 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 8942250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20455763328).

8942250240 is an abundant number, since it is smaller than the sum of its proper divisors (31969276416).

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

8942250240 is a wasteful number, since it uses less digits than its factorization.

8942250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8942250240 is about 94563.4720174762. The cubic root of 8942250240 is about 2075.6252233127.

The spelling of 8942250240 in words is "eight billion, nine hundred forty-two million, two hundred fifty thousand, two hundred forty".