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642482874 = 2331123313741
BaseRepresentation
bin100110010010111…
…000001010111010
31122202221111211000
4212102320022322
52303433422444
6143430345430
721631004625
oct4622701272
91582844730
10642482874
112aa734990
1215b1bb276
13a31515a7
1461484dbc
153b610469
hex264b82ba

642482874 has 256 divisors, whose sum is σ = 1765048320. Its totient is φ = 171072000.

The previous prime is 642482873. The next prime is 642482923. The reversal of 642482874 is 478284246.

It is not an unprimeable number, because it can be changed into a prime (642482873) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15670294 + ... + 15670334.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2642482874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642482874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882524160).

642482874 is an abundant number, since it is smaller than the sum of its proper divisors (1122565446).

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

642482874 is a wasteful number, since it uses less digits than its factorization.

642482874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 642482874 is about 25347.2458858946. The cubic root of 642482874 is about 862.8868525481.

It can be divided in two parts, 6424 and 82874, that added together give a palindrome (89298).

The spelling of 642482874 in words is "six hundred forty-two million, four hundred eighty-two thousand, eight hundred seventy-four".