Search a number
-
+
3704896 = 26136173
BaseRepresentation
bin1110001000100001000000
320222020011101
432020201000
51422024041
6211224144
743330306
oct16104100
96866141
103704896
1121005a8
1212a8054
139c9460
146c6276
154d2b31
hex388840

3704896 has 56 divisors (see below), whose sum is σ = 8157464. Its totient is φ = 1658880.

The previous prime is 3704887. The next prime is 3704941. The reversal of 3704896 is 6984073.

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 3686400 = 136^2 + 1920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50716 + ... + 50788.

It is an arithmetic number, because the mean of its divisors is an integer number (145669).

Almost surely, 23704896 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 3704896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078732).

3704896 is an abundant number, since it is smaller than the sum of its proper divisors (4452568).

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

3704896 is a wasteful number, since it uses less digits than its factorization.

3704896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3704896 is about 1924.8106400371. The cubic root of 3704896 is about 154.7362284534.

The spelling of 3704896 in words is "three million, seven hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 73 104 122 146 208 244 292 416 488 584 793 832 949 976 1168 1586 1898 1952 2336 3172 3796 3904 4453 4672 6344 7592 8906 12688 15184 17812 25376 30368 35624 50752 57889 60736 71248 115778 142496 231556 284992 463112 926224 1852448 3704896