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4157282048 = 2836744249
BaseRepresentation
bin1111011111001011…
…0001011100000000
3101201201122210212012
43313302301130000
532003231011143
61524304552052
7205010212553
oct36762613400
911651583765
104157282048
11184374a597
12980322628
135133a000a
142b61b669a
15194e92418
hexf7cb1700

4157282048 has 36 divisors (see below), whose sum is σ = 8321124000. Its totient is φ = 2072930304.

The previous prime is 4157282047. The next prime is 4157282071. The reversal of 4157282048 is 8402827514.

4157282048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4157281996 and 4157282014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157282047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71828 + ... + 116076.

Almost surely, 24157282048 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 4157282048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160562000).

4157282048 is an abundant number, since it is smaller than the sum of its proper divisors (4163841952).

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

4157282048 is an equidigital number, since it uses as much as digits as its factorization.

4157282048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44632 (or 44618 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 41.

The square root of 4157282048 is about 64476.9885152835. The cubic root of 4157282048 is about 1607.9399662413.

The spelling of 4157282048 in words is "four billion, one hundred fifty-seven million, two hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 367 734 1468 2936 5872 11744 23488 44249 46976 88498 93952 176996 353992 707984 1415968 2831936 5663872 11327744 16239383 32478766 64957532 129915064 259830128 519660256 1039320512 2078641024 4157282048