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2042371872 = 253226632
BaseRepresentation
bin111100110111100…
…0001111100100000
312021100002020111200
41321233001330200
513140321344442
6534355041200
7101416605642
oct17157017440
95240066450
102042371872
11958958242
1248bba0200
13267191688
14155368892
15be48234c
hex79bc1f20

2042371872 has 54 divisors (see below), whose sum is σ = 5810176827. Its totient is φ = 680534976.

The previous prime is 2042371867. The next prime is 2042371873. The reversal of 2042371872 is 2781732402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2042371872 is a `hidden beast` number, since 204 + 2 + 371 + 87 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1021185936 + 1021185936 = 31956^2 + 31956^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=31956.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2042371873) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 765613 + ... + 768275.

Almost surely, 22042371872 is an apocalyptic number.

It is an amenable number.

2042371872 is an abundant number, since it is smaller than the sum of its proper divisors (3767804955).

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

2042371872 is an frugal number, since it uses more digits than its factorization.

2042371872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2042371872 is about 45192.6085991946. The cubic root of 2042371872 is about 1268.7564805351.

The spelling of 2042371872 in words is "two billion, forty-two million, three hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2663 5326 7989 10652 15978 21304 23967 31956 42608 47934 63912 85216 95868 127824 191736 255648 383472 766944 7091569 14183138 21274707 28366276 42549414 56732552 63824121 85098828 113465104 127648242 170197656 226930208 255296484 340395312 510592968 680790624 1021185936 2042371872