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2053352844 = 2232199443647
BaseRepresentation
bin111101001100011…
…1010110110001100
312022002202010120100
41322120322312030
513201124242334
6535430251100
7101612132304
oct17230726614
95262663510
102053352844
11964078424
124937b6a90
132695378aa
141569c6604
15c0400c99
hex7a63ad8c

2053352844 has 72 divisors (see below), whose sum is σ = 5236358400. Its totient is φ = 678424032.

The previous prime is 2053352831. The next prime is 2053352879. The reversal of 2053352844 is 4482533502.

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

It is a junction number, because it is equal to n+sod(n) for n = 2053352799 and 2053352808.

It is an unprimeable number.

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, 3173329 + ... + 3173975.

It is an arithmetic number, because the mean of its divisors is an integer number (72727200).

Almost surely, 22053352844 is an apocalyptic number.

It is an amenable number.

2053352844 is an abundant number, since it is smaller than the sum of its proper divisors (3183005556).

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

2053352844 is a wasteful number, since it uses less digits than its factorization.

2053352844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2053352844 is about 45313.9365317117. The cubic root of 2053352844 is about 1271.0262736033.

The spelling of 2053352844 in words is "two billion, fifty-three million, three hundred fifty-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 199 398 443 597 647 796 886 1194 1294 1329 1772 1791 1941 2388 2588 2658 3582 3882 3987 5316 5823 7164 7764 7974 11646 15948 23292 88157 128753 176314 257506 264471 286621 352628 386259 515012 528942 573242 772518 793413 859863 1057884 1146484 1158777 1545036 1586826 1719726 2317554 2579589 3173652 3439452 4635108 5159178 10318356 57037579 114075158 171112737 228150316 342225474 513338211 684450948 1026676422 2053352844