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3920392 = 237273137
BaseRepresentation
bin1110111101001000001000
321101011202201
432331020020
52000423032
6220005544
745215500
oct16751010
97334681
103920392
1122384a3
1213908b4
13a73578
14740a00
155268e7
hex3bd208

3920392 has 48 divisors (see below), whose sum is σ = 8731260. Its totient is φ = 1645056.

The previous prime is 3920383. The next prime is 3920401. The reversal of 3920392 is 2930293.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3920383) and next prime (3920401).

It can be written as a sum of positive squares in 2 ways, for example, as 3896676 + 23716 = 1974^2 + 154^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 3920392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28548 + ... + 28684.

Almost surely, 23920392 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 3920392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365630).

3920392 is an abundant number, since it is smaller than the sum of its proper divisors (4810868).

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

3920392 is a wasteful number, since it uses less digits than its factorization.

3920392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 3920392 is about 1979.9979797969. The cubic root of 3920392 is about 157.6799589104.

Subtracting from 3920392 its reverse (2930293), we obtain a palindrome (990099).

The spelling of 3920392 in words is "three million, nine hundred twenty thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 137 146 196 274 292 392 511 548 584 959 1022 1096 1918 2044 3577 3836 4088 6713 7154 7672 10001 13426 14308 20002 26852 28616 40004 53704 70007 80008 140014 280028 490049 560056 980098 1960196 3920392