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3764072 = 2313172129
BaseRepresentation
bin1110010110111101101000
321002020100002
432112331220
51430422242
6212402132
743664654
oct16267550
97066302
103764072
112141004
121316348
13a1a380
146dda64
154e5432
hex396f68

3764072 has 32 divisors (see below), whose sum is σ = 8051400. Its totient is φ = 1634304.

The previous prime is 3764053. The next prime is 3764093. The reversal of 3764072 is 2704673.

It can be written as a sum of positive squares in 4 ways, for example, as 2669956 + 1094116 = 1634^2 + 1046^2 .

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 7 ways as a sum of consecutive naturals, for example, 704 + ... + 2832.

Almost surely, 23764072 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 3764072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025700).

3764072 is an abundant number, since it is smaller than the sum of its proper divisors (4287328).

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

3764072 is a wasteful number, since it uses less digits than its factorization.

3764072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 3764072 is about 1940.1216456707. The cubic root of 3764072 is about 155.5557159484. Note that the first 3 decimals are identical.

The spelling of 3764072 in words is "three million, seven hundred sixty-four thousand, seventy-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 2129 4258 8516 17032 27677 36193 55354 72386 110708 144772 221416 289544 470509 941018 1882036 3764072