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4463052480 = 263352337607
BaseRepresentation
bin1000010100000010…
…01100011011000000
3102112001000120001000
410022001030123000
533120020134410
62014510412000
7215412214545
oct41201143300
912461016030
104463052480
111990305427
12a46801000
1356183b473
14304a4cbcc
151b1c40dc0
hex10a04c6c0

4463052480 has 448 divisors, whose sum is σ = 16901038080. Its totient is φ = 1105809408.

The previous prime is 4463052479. The next prime is 4463052487. The reversal of 4463052480 is 842503644.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4463052487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7352337 + ... + 7352943.

Almost surely, 24463052480 is an apocalyptic number.

4463052480 is a gapful number since it is divisible by the number (40) 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 4463052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8450519040).

4463052480 is an abundant number, since it is smaller than the sum of its proper divisors (12437985600).

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

4463052480 is a wasteful number, since it uses less digits than its factorization.

4463052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4463052480 is about 66806.0811603255. The cubic root of 4463052480 is about 1646.4327561078.

The spelling of 4463052480 in words is "four billion, four hundred sixty-three million, fifty-two thousand, four hundred eighty".