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1938912 = 253191063
BaseRepresentation
bin111011001010111100000
310122111200120
413121113200
5444021122
6105320240
722323543
oct7312740
93574616
101938912
111104808
12796080
1352b6b1
1438685a
1528475c
hex1d95e0

1938912 has 48 divisors (see below), whose sum is σ = 5362560. Its totient is φ = 611712.

The previous prime is 1938907. The next prime is 1938949. The reversal of 1938912 is 2198391.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1293 + ... + 2355.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

21938912 is an apocalyptic number.

1938912 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 1938912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681280).

1938912 is an abundant number, since it is smaller than the sum of its proper divisors (3423648).

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

1938912 is a wasteful number, since it uses less digits than its factorization.

1938912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1087 counting only the distinct ones).

The product of its digits is 3888, while the sum is 33.

The square root of 1938912 is about 1392.4482037045. The cubic root of 1938912 is about 124.6960508517.

It can be divided in two parts, 1938 and 912, that added together give a triangular number (2850 = T75).

The spelling of 1938912 in words is "one million, nine hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1063 1824 2126 3189 4252 6378 8504 12756 17008 20197 25512 34016 40394 51024 60591 80788 102048 121182 161576 242364 323152 484728 646304 969456 1938912