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1942768 = 24295379
BaseRepresentation
bin111011010010011110000
310122200222101
413122103300
5444132033
6105350144
722341022
oct7322360
93580871
101942768
1111076a3
12798354
13530389
14388012
1528597d
hex1da4f0

1942768 has 40 divisors (see below), whose sum is σ = 4017600. Its totient is φ = 908544.

The previous prime is 1942763. The next prime is 1942771. The reversal of 1942768 is 8672491.

1942768 is nontrivially palindromic in base 3.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1942763) by changing a digit.

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, 24553 + ... + 24631.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

21942768 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 1942768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008800).

1942768 is an abundant number, since it is smaller than the sum of its proper divisors (2074832).

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

1942768 is a wasteful number, since it uses less digits than its factorization.

1942768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 1942768 is about 1393.8321276251. The cubic root of 1942768 is about 124.7786589632.

The spelling of 1942768 in words is "one million, nine hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 53 58 79 106 116 158 212 232 316 424 464 632 848 1264 1537 2291 3074 4187 4582 6148 8374 9164 12296 16748 18328 24592 33496 36656 66992 121423 242846 485692 971384 1942768