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1838978420 = 2254322232
BaseRepresentation
bin110110110011100…
…1001010101110100
311202011100210010212
41231213021111310
512231234302140
6502251404552
763400026056
oct15547112564
94664323125
101838978420
11864067784
12433a53758
13233cb9916
141363418d6
15ab6a7765
hex6d9c9574

1838978420 has 54 divisors (see below), whose sum is σ = 3971563218. Its totient is φ = 715262688.

The previous prime is 1838978411. The next prime is 1838978429. The reversal of 1838978420 is 248798381.

It is an interprime number because it is at equal distance from previous prime (1838978411) and next prime (1838978429).

It can be written as a sum of positive squares in only one way, i.e., 1471182736 + 367795684 = 38356^2 + 19178^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838978429) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 8246429 + ... + 8246651.

It is an arithmetic number, because the mean of its divisors is an integer number (73547467).

Almost surely, 21838978420 is an apocalyptic number.

1838978420 is a gapful number since it is divisible by the number (10) 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 1838978420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985781609).

1838978420 is an abundant number, since it is smaller than the sum of its proper divisors (2132584798).

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

1838978420 is an equidigital number, since it uses as much as digits as its factorization.

1838978420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 1838978420 is about 42883.3116724910. The cubic root of 1838978420 is about 1225.1583124565.

The spelling of 1838978420 in words is "one billion, eight hundred thirty-eight million, nine hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 223 430 446 860 892 1115 1849 2230 3698 4460 7396 9245 9589 18490 19178 36980 38356 47945 49729 95890 99458 191780 198916 248645 412327 497290 824654 994580 1649308 2061635 2138347 4123270 4276694 8246540 8553388 10691735 21383470 42766940 91948921 183897842 367795684 459744605 919489210 1838978420