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3797768 = 23132532
BaseRepresentation
bin1110011111001100001000
321010221120002
432133030020
51433012033
6213222132
744165132
oct16371410
97127502
103797768
112164357
121331948
13a2c800
1470c052
155003e8
hex39f308

3797768 has 36 divisors (see below), whose sum is σ = 7858935. Its totient is φ = 1719744.

The previous prime is 3797743. The next prime is 3797797. The reversal of 3797768 is 8677973.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3797768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1295044 + 2502724 = 1138^2 + 1582^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1378.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71630 + ... + 71682.

Almost surely, 23797768 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 3797768

3797768 is an abundant number, since it is smaller than the sum of its proper divisors (4061167).

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

3797768 is a wasteful number, since it uses less digits than its factorization.

3797768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 68 counting only the distinct ones).

The product of its digits is 444528, while the sum is 47.

The square root of 3797768 is about 1948.7862889501. The cubic root of 3797768 is about 156.0185163206.

The spelling of 3797768 in words is "three million, seven hundred ninety-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 53 104 106 169 212 338 424 676 689 1352 1378 2756 2809 5512 5618 8957 11236 17914 22472 35828 36517 71656 73034 146068 292136 474721 949442 1898884 3797768