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2053551400 = 235210267757
BaseRepresentation
bin111101001100110…
…1011010100101000
312022010010012221021
41322121223110220
513201202121100
6535434422224
7101613620215
oct17231532450
95263105837
102053551400
119641a361a
12493891974
132695a7094
14156a38b0c
15c043ea1a
hex7a66b528

2053551400 has 24 divisors (see below), whose sum is σ = 4774507470. Its totient is φ = 821420480.

The previous prime is 2053551391. The next prime is 2053551403. The reversal of 2053551400 is 41553502.

It can be written as a sum of positive squares in 3 ways, for example, as 1915112644 + 138438756 = 43762^2 + 11766^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2053551403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5133679 + ... + 5134078.

Almost surely, 22053551400 is an apocalyptic number.

2053551400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2053551400 is an abundant number, since it is smaller than the sum of its proper divisors (2720956070).

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

2053551400 is a wasteful number, since it uses less digits than its factorization.

2053551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10267773 (or 10267764 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 2053551400 is about 45316.1273720516. The cubic root of 2053551400 is about 1271.0672410320.

The spelling of 2053551400 in words is "two billion, fifty-three million, five hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10267757 20535514 41071028 51338785 82142056 102677570 205355140 256693925 410710280 513387850 1026775700 2053551400