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1938920544 = 253311316581
BaseRepresentation
bin111001110010001…
…1001010001100000
312000010102100222000
41303210121101200
512432330424134
6520221444000
766022360401
oct16344312140
95003370860
101938920544
11905519780
12461410600
1324b90cc82
141457199a8
15b5349e99
hex73919460

1938920544 has 192 divisors, whose sum is σ = 6369269760. Its totient is φ = 568512000.

The previous prime is 1938920537. The next prime is 1938920551. The reversal of 1938920544 is 4450298391.

1938920544 is a `hidden beast` number, since 1 + 9 + 3 + 89 + 20 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (1938920537) and next prime (1938920551).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1938920544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291334 + ... + 297914.

It is an arithmetic number, because the mean of its divisors is an integer number (33173280).

Almost surely, 21938920544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1938920544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184634880).

1938920544 is an abundant number, since it is smaller than the sum of its proper divisors (4430349216).

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

1938920544 is a wasteful number, since it uses less digits than its factorization.

1938920544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1938920544 is about 44033.1754930303. The cubic root of 1938920544 is about 1246.9623401310.

The spelling of 1938920544 in words is "one billion, nine hundred thirty-eight million, nine hundred twenty thousand, five hundred forty-four".