Search a number
-
+
828291632 = 24753139537
BaseRepresentation
bin110001010111101…
…011101000110000
32010201120120111212
4301113223220300
53144020313012
6214105055252
726345235260
oct6127535060
92121516455
10828291632
11395604843
121b1487528
131027aa3bc
147c0117a0
154cab4b22
hex315eba30

828291632 has 40 divisors (see below), whose sum is σ = 1868692896. Its totient is φ = 348281856.

The previous prime is 828291631. The next prime is 828291641. The reversal of 828291632 is 236192828.

828291632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 828291632.

It is not an unprimeable number, because it can be changed into a prime (828291631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63833 + ... + 75704.

Almost surely, 2828291632 is an apocalyptic number.

It is an amenable number.

828291632 is an abundant number, since it is smaller than the sum of its proper divisors (1040401264).

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

828291632 is a wasteful number, since it uses less digits than its factorization.

828291632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139605 (or 139599 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 828291632 is about 28780.0561500495. The cubic root of 828291632 is about 939.1344197307.

The spelling of 828291632 in words is "eight hundred twenty-eight million, two hundred ninety-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2968 5936 139537 279074 558148 976759 1116296 1953518 2232592 3907036 7395461 7814072 14790922 15628144 29581844 51768227 59163688 103536454 118327376 207072908 414145816 828291632