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2142858432 = 2631113174591
BaseRepresentation
bin111111110111001…
…0110110011000000
312112100011111011010
41333232112303000
513342032432212
6552344520520
7104046665451
oct17756266300
95470144133
102142858432
119aa651290
124b9780140
13281c45790
14164845128
15c81d103c
hex7fb96cc0

2142858432 has 224 divisors, whose sum is σ = 7054193664. Its totient is φ = 564019200.

The previous prime is 2142858413. The next prime is 2142858433. The reversal of 2142858432 is 2348582412.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2142858433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464457 + ... + 469047.

It is an arithmetic number, because the mean of its divisors is an integer number (31491936).

Almost surely, 22142858432 is an apocalyptic number.

2142858432 is a gapful number since it is divisible by the number (22) 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 2142858432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527096832).

2142858432 is an abundant number, since it is smaller than the sum of its proper divisors (4911335232).

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

2142858432 is a wasteful number, since it uses less digits than its factorization.

2142858432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4637 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 2142858432 is about 46291.0189129598. The cubic root of 2142858432 is about 1289.2322479232.

The spelling of 2142858432 in words is "two billion, one hundred forty-two million, eight hundred fifty-eight thousand, four hundred thirty-two".