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2050552296 = 2332132937477
BaseRepresentation
bin111101000111000…
…1111000111101000
312021220110211221100
41322032033013220
513144420133141
6535250241400
7101546256402
oct17216170750
95256424840
102050552296
11962535321
12492886260
13268a96c70
14156497b72
15c004b0b6
hex7a38f1e8

2050552296 has 96 divisors (see below), whose sum is σ = 6001992360. Its totient is φ = 628701696.

The previous prime is 2050552253. The next prime is 2050552297. The reversal of 2050552296 is 6922550502.

It can be written as a sum of positive squares in 4 ways, for example, as 2049372900 + 1179396 = 45270^2 + 1086^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2050552296.

It is not an unprimeable number, because it can be changed into a prime (2050552297) 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 23 ways as a sum of consecutive naturals, for example, 270510 + ... + 277986.

Almost surely, 22050552296 is an apocalyptic number.

2050552296 is a gapful number since it is divisible by the number (26) 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 2050552296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000996180).

2050552296 is an abundant number, since it is smaller than the sum of its proper divisors (3951440064).

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

2050552296 is a wasteful number, since it uses less digits than its factorization.

2050552296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7795 (or 7788 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 2050552296 is about 45283.0243689619. The cubic root of 2050552296 is about 1270.4481639011.

The spelling of 2050552296 in words is "two billion, fifty million, five hundred fifty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 293 312 468 586 879 936 1172 1758 2344 2637 3516 3809 5274 7032 7477 7618 10548 11427 14954 15236 21096 22431 22854 29908 30472 34281 44862 45708 59816 67293 68562 89724 91416 97201 134586 137124 179448 194402 269172 274248 291603 388804 538344 583206 777608 874809 1166412 1749618 2190761 2332824 3499236 4381522 6572283 6998472 8763044 13144566 17526088 19716849 26289132 28479893 39433698 52578264 56959786 78867396 85439679 113919572 157734792 170879358 227839144 256319037 341758716 512638074 683517432 1025276148 2050552296