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2053345024 = 284723631
BaseRepresentation
bin111101001100011…
…1000111100000000
312022002201201211201
41322120320330000
513201124020044
6535430150544
7101612100433
oct17230707400
95262651751
102053345024
11964072565
124937b2454
13269534173
141569c381a
15c03ed7d4
hex7a638f00

2053345024 has 54 divisors (see below), whose sum is σ = 4188883664. Its totient is φ = 1004551680.

The previous prime is 2053345003. The next prime is 2053345037. The reversal of 2053345024 is 4205433502.

It is a junction number, because it is equal to n+sod(n) for n = 2053344983 and 2053345001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 563689 + ... + 567319.

Almost surely, 22053345024 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 2053345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094441832).

2053345024 is an abundant number, since it is smaller than the sum of its proper divisors (2135538640).

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

2053345024 is an frugal number, since it uses more digits than its factorization.

2053345024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 2053345024 is about 45313.8502447100. The cubic root of 2053345024 is about 1271.0246600735.

Adding to 2053345024 its reverse (4205433502), we get a palindrome (6258778526).

The spelling of 2053345024 in words is "two billion, fifty-three million, three hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 1504 2209 3008 3631 4418 6016 7262 8836 12032 14524 17672 29048 35344 58096 70688 116192 141376 170657 232384 282752 341314 464768 565504 682628 929536 1365256 2730512 5461024 8020879 10922048 16041758 21844096 32083516 43688192 64167032 128334064 256668128 513336256 1026672512 2053345024