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1939263984 = 243372172317
BaseRepresentation
bin111001110010110…
…1101000111110000
312000011001211002000
41303211231013300
512432422421414
6520233054000
766025320600
oct16345550760
95004054060
101939263984
11905733809
12461557300
1324ba003a8
141457a8c00
15b53b6b09
hex7396d1f0

1939263984 has 360 divisors, whose sum is σ = 6900205680. Its totient is φ = 519837696.

The previous prime is 1939263941. The next prime is 1939264003. The reversal of 1939263984 is 4893629391.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1939263984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6117394 + ... + 6117710.

It is an arithmetic number, because the mean of its divisors is an integer number (19167238).

Almost surely, 21939263984 is an apocalyptic number.

1939263984 is a gapful number since it is divisible by the number (14) 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 1939263984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450102840).

1939263984 is an abundant number, since it is smaller than the sum of its proper divisors (4960941696).

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

1939263984 is a wasteful number, since it uses less digits than its factorization.

1939263984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 346 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 1939263984 is about 44037.0751072321. The cubic root of 1939263984 is about 1247.0359603840.

The spelling of 1939263984 in words is "one billion, nine hundred thirty-nine million, two hundred sixty-three thousand, nine hundred eighty-four".