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642546 = 23373163
BaseRepresentation
bin10011100110111110010
31012122102000
42130313302
5131030141
621434430
75314212
oct2346762
91178360
10642546
113a9833
1226ba16
13196608
1412a242
15ca5b6
hex9cdf2

642546 has 32 divisors (see below), whose sum is σ = 1456320. Its totient is φ = 209952.

The previous prime is 642533. The next prime is 642547. The reversal of 642546 is 645246.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 642546.

It is not an unprimeable number, because it can be changed into a prime (642547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3861 + ... + 4023.

It is an arithmetic number, because the mean of its divisors is an integer number (45510).

2642546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728160).

642546 is an abundant number, since it is smaller than the sum of its proper divisors (813774).

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

642546 is a wasteful number, since it uses less digits than its factorization.

642546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 642546 is about 801.5896705921. The cubic root of 642546 is about 86.2915112088.

The spelling of 642546 in words is "six hundred forty-two thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 73 146 163 219 326 438 489 657 978 1314 1467 1971 2934 3942 4401 8802 11899 23798 35697 71394 107091 214182 321273 642546