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642968280 = 23355292281
BaseRepresentation
bin100110010100101…
…110101011011000
31122210212011200000
4212110232223120
52304044441110
6143445013000
721635066043
oct4624565330
91583764600
10642968280
112aaa36649
1215b3b4160
13a3291506
146156dc5a
153b6a91c0
hex2652ead8

642968280 has 192 divisors, whose sum is σ = 2242749600. Its totient is φ = 165473280.

The previous prime is 642968267. The next prime is 642968297. The reversal of 642968280 is 82869246.

642968280 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280740 + ... + 283020.

Almost surely, 2642968280 is an apocalyptic number.

642968280 is a gapful number since it is divisible by the number (60) 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 642968280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121374800).

642968280 is an abundant number, since it is smaller than the sum of its proper divisors (1599781320).

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

642968280 is a wasteful number, since it uses less digits than its factorization.

642968280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 642968280 is about 25356.8192011538. The cubic root of 642968280 is about 863.1041060781.

The spelling of 642968280 in words is "six hundred forty-two million, nine hundred sixty-eight thousand, two hundred eighty".