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2042031400 = 235216362639
BaseRepresentation
bin111100110110110…
…1110110100101000
312021022102221110121
41321231232310220
513140230001100
6534343453024
7101413660213
oct17155566450
95238387417
102042031400
11958745462
1248ba57174
132670a2706
141552ba77a
15be41651a
hex79b6ed28

2042031400 has 48 divisors (see below), whose sum is σ = 4776926400. Its totient is φ = 811788480.

The previous prime is 2042031377. The next prime is 2042031401. The reversal of 2042031400 is 41302402.

It is not an unprimeable number, because it can be changed into a prime (2042031401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1281 + ... + 63919.

It is an arithmetic number, because the mean of its divisors is an integer number (99519300).

Almost surely, 22042031400 is an apocalyptic number.

2042031400 is a gapful number since it is divisible by the number (20) 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 2042031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388463200).

2042031400 is an abundant number, since it is smaller than the sum of its proper divisors (2734895000).

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

2042031400 is a wasteful number, since it uses less digits than its factorization.

2042031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62818 (or 62809 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2042031400 is about 45188.8415430181. The cubic root of 2042031400 is about 1268.6859742659.

Adding to 2042031400 its reverse (41302402), we get a palindrome (2083333802).

The spelling of 2042031400 in words is "two billion, forty-two million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 652 815 1304 1630 3260 4075 6520 8150 16300 32600 62639 125278 250556 313195 501112 626390 1252780 1565975 2505560 3131950 6263900 10210157 12527800 20420314 40840628 51050785 81681256 102101570 204203140 255253925 408406280 510507850 1021015700 2042031400