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4076358048 = 2537753157
BaseRepresentation
bin1111001011111000…
…0100100110100000
3101112002101110000000
43302332010212200
531322021424143
61512254300000
7203005320540
oct36276044640
911462343000
104076358048
111801aa8154
129591b7600
134cc6a81a9
142a954d320
1518cd09bd3
hexf2f849a0

4076358048 has 384 divisors, whose sum is σ = 14104419840. Its totient is φ = 1135420416.

The previous prime is 4076358029. The next prime is 4076358049. The reversal of 4076358048 is 8408536704.

4076358048 is a `hidden beast` number, since 4 + 0 + 7 + 63 + 580 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4076357994 and 4076358012.

It is not an unprimeable number, because it can be changed into a prime (4076358049) 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, 25963986 + ... + 25964142.

It is an arithmetic number, because the mean of its divisors is an integer number (36730260).

Almost surely, 24076358048 is an apocalyptic number.

4076358048 is a gapful number since it is divisible by the number (48) 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 4076358048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052209920).

4076358048 is an abundant number, since it is smaller than the sum of its proper divisors (10028061792).

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

4076358048 is an equidigital number, since it uses as much as digits as its factorization.

4076358048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4076358048 is about 63846.3628408071. The cubic root of 4076358048 is about 1597.4383550900.

The spelling of 4076358048 in words is "four billion, seventy-six million, three hundred fifty-eight thousand, forty-eight".