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642606246 = 232236723167
BaseRepresentation
bin100110010011010…
…110010010100110
31122210011210001100
4212103112102212
52304001344441
6143433140530
721632030412
oct4623262246
91583153040
10642606246
112aa809647
1215b25a746
13a31957a9
14614b7d42
153b636cb6
hex264d64a6

642606246 has 48 divisors (see below), whose sum is σ = 1474596864. Its totient is φ = 201822192.

The previous prime is 642606227. The next prime is 642606247.

642606246 is a `hidden beast` number, since 6 + 4 + 2 + 606 + 2 + 46 = 666.

642606246 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 642606246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642606247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16155 + ... + 39321.

It is an arithmetic number, because the mean of its divisors is an integer number (30720768).

Almost surely, 2642606246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642606246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737298432).

642606246 is an abundant number, since it is smaller than the sum of its proper divisors (831990618).

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

642606246 is a wasteful number, since it uses less digits than its factorization.

642606246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23265 (or 23262 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 642606246 is about 25349.6794062568. The cubic root of 642606246 is about 862.9420806160.

The spelling of 642606246 in words is "six hundred forty-two million, six hundred six thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 18 23 46 67 69 134 138 201 207 402 414 603 1206 1541 3082 4623 9246 13869 23167 27738 46334 69501 139002 208503 417006 532841 1065682 1552189 1598523 3104378 3197046 4656567 4795569 9313134 9591138 13969701 27939402 35700347 71400694 107101041 214202082 321303123 642606246