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642402152 = 23723314951
BaseRepresentation
bin100110010010100…
…100011101101000
31122202210102002022
4212102210131220
52303423332102
6143424524012
721630220400
oct4622443550
91582712068
10642402152
112aa68a277
1215b180608
13a3123922
1461463800
153b5e65a2
hex264a4768

642402152 has 48 divisors (see below), whose sum is σ = 1405674720. Its totient is φ = 274428000.

The previous prime is 642402151. The next prime is 642402161. The reversal of 642402152 is 251204246.

It is a super-2 number, since 2×6424021522 = 825361049788462208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (642402151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127277 + ... + 132227.

It is an arithmetic number, because the mean of its divisors is an integer number (29284890).

Almost surely, 2642402152 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 642402152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702837360).

642402152 is an abundant number, since it is smaller than the sum of its proper divisors (763272568).

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

642402152 is a wasteful number, since it uses less digits than its factorization.

642402152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 642402152 is about 25345.6535129793. The cubic root of 642402152 is about 862.8507131309.

Adding to 642402152 its reverse (251204246), we get a palindrome (893606398).

The spelling of 642402152 in words is "six hundred forty-two million, four hundred two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 331 392 662 1324 2317 2648 4634 4951 9268 9902 16219 18536 19804 32438 34657 39608 64876 69314 129752 138628 242599 277256 485198 970396 1638781 1940792 3277562 6555124 11471467 13110248 22942934 45885868 80300269 91771736 160600538 321201076 642402152