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642427500 = 223541113599
BaseRepresentation
bin100110010010101…
…010101001101100
31122202211200212010
4212102222221230
52303430140000
6143425241220
721630354321
oct4622525154
91582750763
10642427500
112aa6a7320
1215b193210
13a3132320
146146cb48
153b5edd50
hex264aaa6c

642427500 has 240 divisors, whose sum is σ = 2204294400. Its totient is φ = 143520000.

The previous prime is 642427493. The next prime is 642427529. The reversal of 642427500 is 5724246.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1072201 + ... + 1072799.

It is an arithmetic number, because the mean of its divisors is an integer number (9184560).

Almost surely, 2642427500 is an apocalyptic number.

642427500 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 642427500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102147200).

642427500 is an abundant number, since it is smaller than the sum of its proper divisors (1561866900).

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

642427500 is a wasteful number, since it uses less digits than its factorization.

642427500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 642427500 is about 25346.1535543364. The cubic root of 642427500 is about 862.8620618124.

The spelling of 642427500 in words is "six hundred forty-two million, four hundred twenty-seven thousand, five hundred".