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1428046992 = 24321931113149
BaseRepresentation
bin101010100011110…
…0100010010010000
310200112010022012100
41111013210102100
510411040000432
6353412000400
750250125211
oct12507442220
93615108170
101428046992
11673105929
1233a300100
13199b1b828
14d7933408
158558507c
hex551e4490

1428046992 has 240 divisors, whose sum is σ = 4410432000. Its totient is φ = 429649920.

The previous prime is 1428046987. The next prime is 1428047021. The reversal of 1428046992 is 2996408241.

It is a super-2 number, since 2×14280469922 = 4078636422720496128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9584134 + ... + 9584282.

It is an arithmetic number, because the mean of its divisors is an integer number (18376800).

Almost surely, 21428046992 is an apocalyptic number.

1428046992 is a gapful number since it is divisible by the number (12) 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 1428046992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205216000).

1428046992 is an abundant number, since it is smaller than the sum of its proper divisors (2982385008).

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

1428046992 is a wasteful number, since it uses less digits than its factorization.

1428046992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1428046992 is about 37789.5090203617. The cubic root of 1428046992 is about 1126.1100462744.

The spelling of 1428046992 in words is "one billion, four hundred twenty-eight million, forty-six thousand, nine hundred ninety-two".