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455700448 = 25719910223
BaseRepresentation
bin11011001010010…
…110111111100000
31011202110222111101
4123022112333200
51413124403243
6113115124144
714202250510
oct3312267740
91152428441
10455700448
1121425a545
12108743654
1373544548
1444743840
152a01754d
hex1b296fe0

455700448 has 48 divisors (see below), whose sum is σ = 1030579200. Its totient is φ = 194299776.

The previous prime is 455700409. The next prime is 455700451. The reversal of 455700448 is 844007554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39465 + ... + 49687.

It is an arithmetic number, because the mean of its divisors is an integer number (21470400).

Almost surely, 2455700448 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 455700448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515289600).

455700448 is an abundant number, since it is smaller than the sum of its proper divisors (574878752).

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

455700448 is a wasteful number, since it uses less digits than its factorization.

455700448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10439 (or 10431 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The square root of 455700448 is about 21347.1414479785. The cubic root of 455700448 is about 769.5316474925.

The spelling of 455700448 in words is "four hundred fifty-five million, seven hundred thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 199 224 398 796 1393 1592 2786 3184 5572 6368 10223 11144 20446 22288 40892 44576 71561 81784 143122 163568 286244 327136 572488 1144976 2034377 2289952 4068754 8137508 14240639 16275016 28481278 32550032 56962556 65100064 113925112 227850224 455700448