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642444 = 2231131157
BaseRepresentation
bin10011100110110001100
31012122021020
42130312030
5131024234
621434140
75314005
oct2346614
91178236
10642444
113a9750
1226b950
1319655a
1412a1ac
15ca549
hex9cd8c

642444 has 48 divisors (see below), whose sum is σ = 1698816. Its totient is φ = 187200.

The previous prime is 642427. The next prime is 642457. The reversal of 642444 is 444246.

642444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4014 + ... + 4170.

It is an arithmetic number, because the mean of its divisors is an integer number (35392).

2642444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849408).

642444 is an abundant number, since it is smaller than the sum of its proper divisors (1056372).

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

642444 is a wasteful number, since it uses less digits than its factorization.

642444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 204 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 642444 is about 801.5260444926. The cubic root of 642444 is about 86.2869448951.

The spelling of 642444 in words is "six hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 157 186 314 341 372 471 628 682 942 1023 1364 1727 1884 2046 3454 4092 4867 5181 6908 9734 10362 14601 19468 20724 29202 53537 58404 107074 160611 214148 321222 642444