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2053249460 = 2251713146099
BaseRepresentation
bin111101001100010…
…0001100110110100
312022002112212202022
41322120201212310
513201112440320
6535424132312
7101611222013
oct17230414664
95262485668
102053249460
11964007789
12493767098
132694cc812
1415699aa7a
15c03d0325
hex7a6219b4

2053249460 has 48 divisors (see below), whose sum is σ = 4600411200. Its totient is φ = 767070720.

The previous prime is 2053249453. The next prime is 2053249489. The reversal of 2053249460 is 649423502.

It is a self number, because there is not a number n which added to its sum of digits gives 2053249460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21491 + ... + 67589.

It is an arithmetic number, because the mean of its divisors is an integer number (95841900).

Almost surely, 22053249460 is an apocalyptic number.

2053249460 is a gapful number since it is divisible by the number (20) 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 2053249460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300205600).

2053249460 is an abundant number, since it is smaller than the sum of its proper divisors (2547161740).

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

2053249460 is a wasteful number, since it uses less digits than its factorization.

2053249460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46256 (or 46254 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 2053249460 is about 45312.7957645520. The cubic root of 2053249460 is about 1271.0049416654.

The spelling of 2053249460 in words is "two billion, fifty-three million, two hundred forty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 131 170 262 340 524 655 1310 2227 2620 4454 8908 11135 22270 44540 46099 92198 184396 230495 460990 783683 921980 1567366 3134732 3918415 6038969 7836830 12077938 15673660 24155876 30194845 60389690 102662473 120779380 205324946 410649892 513312365 1026624730 2053249460