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4396146048 = 2735761331
BaseRepresentation
bin1000001100000011…
…11101110110000000
3102100101010100200000
410012001331312000
533000403133143
62004120400000
7213640424220
oct40601756600
912311110600
104396146048
111956567658
12a28316000
13550a13a68
142d9bd4080
151aae26bd3
hex10607dd80

4396146048 has 384 divisors, whose sum is σ = 15284855040. Its totient is φ = 1231718400.

The previous prime is 4396146037. The next prime is 4396146091. The reversal of 4396146048 is 8406416934.

4396146048 is a `hidden beast` number, since 4 + 39 + 6 + 1 + 4 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×43961460482 = 38652200150692036608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4396145994 and 4396146012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13281243 + ... + 13281573.

It is an arithmetic number, because the mean of its divisors is an integer number (39804310).

Almost surely, 24396146048 is an apocalyptic number.

4396146048 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 4396146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7642427520).

4396146048 is an abundant number, since it is smaller than the sum of its proper divisors (10888708992).

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

4396146048 is an equidigital number, since it uses as much as digits as its factorization.

4396146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4396146048 is about 66303.4391868175. The cubic root of 4396146048 is about 1638.1639734410.

It can be divided in two parts, 43961 and 46048, that added together give a palindrome (90009).

The spelling of 4396146048 in words is "four billion, three hundred ninety-six million, one hundred forty-six thousand, forty-eight".