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1028616232 = 23722779473
BaseRepresentation
bin111101010011110…
…111000000101000
32122200112010012111
4331103313000220
54101311204412
6250022452104
734330044100
oct7523670050
92580463174
101028616232
11488699666
12248594034
13135149377
149a87a200
15604852a7
hex3d4f7028

1028616232 has 48 divisors (see below), whose sum is σ = 2251875060. Its totient is φ = 439197696.

The previous prime is 1028616187. The next prime is 1028616247. The reversal of 1028616232 is 2326168201.

1028616232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1010858436 + 17757796 = 31794^2 + 4214^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1028616194 and 1028616203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103848 + ... + 113320.

Almost surely, 21028616232 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 1028616232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125937530).

1028616232 is an abundant number, since it is smaller than the sum of its proper divisors (1223258828).

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

1028616232 is a wasteful number, since it uses less digits than its factorization.

1028616232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9770 (or 9759 counting only the distinct ones).

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

The square root of 1028616232 is about 32072.0475180491. The cubic root of 1028616232 is about 1009.4491758465.

The spelling of 1028616232 in words is "one billion, twenty-eight million, six hundred sixteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 277 392 554 1108 1939 2216 3878 7756 9473 13573 15512 18946 27146 37892 54292 66311 75784 108584 132622 265244 464177 530488 928354 1856708 2624021 3713416 5248042 10496084 18368147 20992168 36736294 73472588 128577029 146945176 257154058 514308116 1028616232