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642928 = 241113281
BaseRepresentation
bin10011100111101110000
31012122221011
42130331300
5131033203
621440304
75315266
oct2347560
91178834
10642928
113aa050
12270094
13196840
1412a436
15ca76d
hex9cf70

642928 has 40 divisors (see below), whose sum is σ = 1468656. Its totient is φ = 268800.

The previous prime is 642907. The next prime is 642931. The reversal of 642928 is 829246.

It is a self number, because there is not a number n which added to its sum of digits gives 642928.

It is a congruent number.

It is an unprimeable number.

642928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2148 + ... + 2428.

2642928 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 642928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734328).

642928 is an abundant number, since it is smaller than the sum of its proper divisors (825728).

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

642928 is a wasteful number, since it uses less digits than its factorization.

642928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 642928 is about 801.8279117117. The cubic root of 642928 is about 86.3086082089.

It can be divided in two parts, 64 and 2928, that added together give a palindrome (2992).

The spelling of 642928 in words is "six hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 281 286 562 572 1124 1144 2248 2288 3091 3653 4496 6182 7306 12364 14612 24728 29224 40183 49456 58448 80366 160732 321464 642928