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2453825088 = 26321113313
BaseRepresentation
bin1001001001000010…
…0110011001000000
320100000022020012200
42102100212121000
520011134400323
61043253553200
7114544112001
oct22220463100
96300266180
102453825088
11104a136120
12585945800
133014b3110
14193c711a8
15e5659443
hex92426640

2453825088 has 336 divisors, whose sum is σ = 8538496512. Its totient is φ = 664243200.

The previous prime is 2453825071. The next prime is 2453825093. The reversal of 2453825088 is 8805283542.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79155633 + ... + 79155663.

It is an arithmetic number, because the mean of its divisors is an integer number (25412192).

Almost surely, 22453825088 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 2453825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269248256).

2453825088 is an abundant number, since it is smaller than the sum of its proper divisors (6084671424).

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

2453825088 is a wasteful number, since it uses less digits than its factorization.

2453825088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 2453825088 is about 49536.0988371107. The cubic root of 2453825088 is about 1348.8009633441.

It can be divided in two parts, 2453 and 825088, that added together give a triangular number (827541 = T1286).

The spelling of 2453825088 in words is "two billion, four hundred fifty-three million, eight hundred twenty-five thousand, eighty-eight".