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3797394048 = 27357107163
BaseRepresentation
bin1110001001010111…
…1010001010000000
3100210122110121100000
43202111322022000
530234113102143
61424451200000
7163050213450
oct34225721200
910718417300
103797394048
111679591398
1289b8a6000
13486964236
14280493d60
151735a3bd3
hexe257a280

3797394048 has 384 divisors, whose sum is σ = 13152222720. Its totient is φ = 1068235776.

The previous prime is 3797394043. The next prime is 3797394053. The reversal of 3797394048 is 8404937973.

It is an interprime number because it is at equal distance from previous prime (3797394043) and next prime (3797394053).

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3797393985 and 3797394003.

It is not an unprimeable number, because it can be changed into a prime (3797394043) by changing a digit.

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, 23296815 + ... + 23296977.

It is an arithmetic number, because the mean of its divisors is an integer number (34250580).

Almost surely, 23797394048 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 3797394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576111360).

3797394048 is an abundant number, since it is smaller than the sum of its proper divisors (9354828672).

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

3797394048 is a wasteful number, since it uses less digits than its factorization.

3797394048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3797394048 is about 61622.9993427779. Note that the first 3 decimals coincide. The cubic root of 3797394048 is about 1560.1339529945.

The spelling of 3797394048 in words is "three billion, seven hundred ninety-seven million, three hundred ninety-four thousand, forty-eight".