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2050203904 = 28721371193
BaseRepresentation
bin111101000110011…
…1010000100000000
312021212211011000221
41322030322010000
513144323011104
6535234552424
7101543305600
oct17214720400
95255734027
102050203904
119623175a1
12492738714
132689a4508
14156406c00
15beeccc54
hex7a33a100

2050203904 has 108 divisors (see below), whose sum is σ = 4799314044. Its totient is φ = 871514112.

The previous prime is 2050203899. The next prime is 2050203907. The reversal of 2050203904 is 4093020502.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1128960000 + 921243904 = 33600^2 + 30352^2 .

It is not an unprimeable number, because it can be changed into a prime (2050203907) 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, 1717932 + ... + 1719124.

It is an arithmetic number, because the mean of its divisors is an integer number (44438093).

Almost surely, 22050203904 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 2050203904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399657022).

2050203904 is an abundant number, since it is smaller than the sum of its proper divisors (2749110140).

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

2050203904 is a wasteful number, since it uses less digits than its factorization.

2050203904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 2050203904 is about 45279.1773776865. The cubic root of 2050203904 is about 1270.3762094579.

The spelling of 2050203904 in words is "two billion, fifty million, two hundred three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 137 196 224 256 274 392 448 548 784 896 959 1096 1193 1568 1792 1918 2192 2386 3136 3836 4384 4772 6272 6713 7672 8351 8768 9544 12544 13426 15344 16702 17536 19088 26852 30688 33404 35072 38176 53704 58457 61376 66808 76352 107408 116914 122752 133616 152704 163441 214816 233828 245504 267232 305408 326882 429632 467656 534464 653764 859264 935312 1068928 1144087 1307528 1718528 1870624 2137856 2288174 2615056 3741248 4576348 5230112 7482496 8008609 9152696 10460224 14964992 16017218 18305392 20920448 32034436 36610784 41840896 64068872 73221568 128137744 146443136 256275488 292886272 512550976 1025101952 2050203904