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3958785 = 32587973
BaseRepresentation
bin1111000110100000000001
321110010102200
433012200001
52003140120
6220503413
745435435
oct17064001
97403380
103958785
112264326
1213aab69
13a87b9c
147509c5
15532e90
hex3c6801

3958785 has 12 divisors (see below), whose sum is σ = 6861972. Its totient is φ = 2111328.

The previous prime is 3958777. The next prime is 3958789. The reversal of 3958785 is 5878593.

It can be written as a sum of positive squares in 2 ways, for example, as 804609 + 3154176 = 897^2 + 1776^2 .

It is not a de Polignac number, because 3958785 - 23 = 3958777 is a prime.

It is a Smith number, since the sum of its digits (45) 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 (45), and also a Moran number because the ratio is a prime number: 87973 = 3958785 / (3 + 9 + 5 + 8 + 7 + 8 + 5).

3958785 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3958785.

It is not an unprimeable number, because it can be changed into a prime (3958789) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43942 + ... + 44031.

It is an arithmetic number, because the mean of its divisors is an integer number (571831).

It is a Proth number, since it is equal to 1933 ⋅ 211 + 1 and 1933 < 211.

Almost surely, 23958785 is an apocalyptic number.

It is an amenable number.

3958785 is a deficient number, since it is larger than the sum of its proper divisors (2903187).

3958785 is a wasteful number, since it uses less digits than its factorization.

3958785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87984 (or 87981 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 3958785 is about 1989.6695705569. The cubic root of 3958785 is about 158.1930157281.

It can be divided in two parts, 395 and 8785, that added together give a triangular number (9180 = T135).

The spelling of 3958785 in words is "three million, nine hundred fifty-eight thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 45 87973 263919 439865 791757 1319595 3958785