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1928400964 = 22768871463
BaseRepresentation
bin111001011110001…
…0001000001000100
311222101121220210221
41302330101001010
512422132312324
6515204154124
765534065150
oct16274210104
94871556727
101928400964
118aa594206
12459998944
13249698a79
1414417c060
15b446d0e4
hex72f11044

1928400964 has 12 divisors (see below), whose sum is σ = 3856801984. Its totient is φ = 826457544.

The previous prime is 1928400961. The next prime is 1928401021. The reversal of 1928400964 is 4690048291.

1928400964 is an admirable number.

It is a super-2 number, since 2×19284009642 = 7437460555912258592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1928400964.

It is not an unprimeable number, because it can be changed into a prime (1928400961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34435704 + ... + 34435759.

Almost surely, 21928400964 is an apocalyptic number.

1928400964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1928400964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1928400964 is a wasteful number, since it uses less digits than its factorization.

1928400964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68871474 (or 68871472 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 1928400964 is about 43913.5624152721. The cubic root of 1928400964 is about 1244.7031251847.

The spelling of 1928400964 in words is "one billion, nine hundred twenty-eight million, four hundred thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 68871463 137742926 275485852 482100241 964200482 1928400964