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642888246 = 2371121337263
BaseRepresentation
bin100110010100011…
…011001000110110
31122210201002212210
4212110123020312
52304034410441
6143443154250
721634313520
oct4624331066
91583632783
10642888246
112aa991500
1215b375986
13a3263c60
146154ca10
153b690616
hex2651b236

642888246 has 192 divisors, whose sum is σ = 1793240064. Its totient is φ = 149402880.

The previous prime is 642888229. The next prime is 642888263.

642888246 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (642888229) and next prime (642888263).

It is a junction number, because it is equal to n+sod(n) for n = 642888195 and 642888204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2444311 + ... + 2444573.

It is an arithmetic number, because the mean of its divisors is an integer number (9339792).

Almost surely, 2642888246 is an apocalyptic number.

642888246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 642888246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896620032).

642888246 is an abundant number, since it is smaller than the sum of its proper divisors (1150351818).

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

642888246 is a wasteful number, since it uses less digits than its factorization.

642888246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 642888246 is about 25355.2409966855. The cubic root of 642888246 is about 863.0682927301.

It can be divided in two parts, 642 and 888246, that added together give a palindrome (888888).

The spelling of 642888246 in words is "six hundred forty-two million, eight hundred eighty-eight thousand, two hundred forty-six".