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1082428016 = 24297972927
BaseRepresentation
bin100000010000100…
…1000101001110000
32210102210001002112
41000201020221300
54204100144031
6255224104452
735552325545
oct10041105160
92712701075
101082428016
1150600320a
12262605128
1314333a767
14a3a86bcc
156506462b
hex40848a70

1082428016 has 40 divisors (see below), whose sum is σ = 2172985920. Its totient is φ = 521717504.

The previous prime is 1082427989. The next prime is 1082428019. The reversal of 1082428016 is 6108242801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082428019) 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, 368345 + ... + 371271.

It is an arithmetic number, because the mean of its divisors is an integer number (54324648).

Almost surely, 21082428016 is an apocalyptic number.

1082428016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082428016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086492960).

1082428016 is an abundant number, since it is smaller than the sum of its proper divisors (1090557904).

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

1082428016 is a wasteful number, since it uses less digits than its factorization.

1082428016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1082428016 is about 32900.2737982528. The cubic root of 1082428016 is about 1026.7538534679.

The spelling of 1082428016 in words is "one billion, eighty-two million, four hundred twenty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 464 797 1594 2927 3188 5854 6376 11708 12752 23113 23416 46226 46832 84883 92452 169766 184904 339532 369808 679064 1358128 2332819 4665638 9331276 18662552 37325104 67651751 135303502 270607004 541214008 1082428016