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2037243904 = 213431577
BaseRepresentation
bin111100101101101…
…1110000000000000
312020222102201020221
41321123132000000
513133013301104
6534053112424
7101325200413
oct17133360000
95228381227
102037243904
11955a75553
1248a328714
132660b7587
141547d1b7a
15bdcbcc54
hex796de000

2037243904 has 56 divisors (see below), whose sum is σ = 4090769568. Its totient is φ = 1014497280.

The previous prime is 2037243893. The next prime is 2037243907. The reversal of 2037243904 is 4093427302.

It is a happy number.

It is a super-2 number, since 2×20372439042 = 8300725448770322432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2037243904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2037243907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3530464 + ... + 3531040.

Almost surely, 22037243904 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 2037243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045384784).

2037243904 is an abundant number, since it is smaller than the sum of its proper divisors (2053525664).

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

2037243904 is an frugal number, since it uses more digits than its factorization.

2037243904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 2037243904 is about 45135.8383549037. The cubic root of 2037243904 is about 1267.6937299954.

The spelling of 2037243904 in words is "two billion, thirty-seven million, two hundred forty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 431 512 577 862 1024 1154 1724 2048 2308 3448 4096 4616 6896 8192 9232 13792 18464 27584 36928 55168 73856 110336 147712 220672 248687 295424 441344 497374 590848 882688 994748 1181696 1765376 1989496 2363392 3530752 3978992 4726784 7957984 15915968 31831936 63663872 127327744 254655488 509310976 1018621952 2037243904