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1926429912 = 23331119139307
BaseRepresentation
bin111001011010010…
…1111110011011000
311222020220210001000
41302310233303120
512421131224122
6515054025000
765511245511
oct16264576330
94866823030
101926429912
118a9468340
124591a8160
13249158874
14143bc7a08
15b41ce0ac
hex72d2fcd8

1926429912 has 256 divisors, whose sum is σ = 6209280000. Its totient is φ = 547274880.

The previous prime is 1926429887. The next prime is 1926429913. The reversal of 1926429912 is 2199246291.

It is a super-2 number, since 2×19264299122 = 7422264411696655488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1926429913) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6274863 + ... + 6275169.

It is an arithmetic number, because the mean of its divisors is an integer number (24255000).

Almost surely, 21926429912 is an apocalyptic number.

1926429912 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 1926429912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640000).

1926429912 is an abundant number, since it is smaller than the sum of its proper divisors (4282850088).

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

1926429912 is a wasteful number, since it uses less digits than its factorization.

1926429912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 1926429912 is about 43891.1142715698. The cubic root of 1926429912 is about 1244.2789030815.

The spelling of 1926429912 in words is "one billion, nine hundred twenty-six million, four hundred twenty-nine thousand, nine hundred twelve".