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379759760 = 2454746997
BaseRepresentation
bin10110101000101…
…010110010010000
3222110120210110022
4112220222302100
51234204303020
6101403323012
712260622212
oct2650526220
9873523408
10379759760
11185401146
12a7220468
13608a5a23
14386165b2
1523516625
hex16a2ac90

379759760 has 20 divisors (see below), whose sum is σ = 882941628. Its totient is φ = 151903872.

The previous prime is 379759747. The next prime is 379759763. The reversal of 379759760 is 67957973.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 273174784 + 106584976 = 16528^2 + 10324^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (379759763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2373419 + ... + 2373578.

Almost surely, 2379759760 is an apocalyptic number.

It is an amenable number.

379759760 is an abundant number, since it is smaller than the sum of its proper divisors (503181868).

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

379759760 is a wasteful number, since it uses less digits than its factorization.

379759760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4747010 (or 4747004 counting only the distinct ones).

The product of its (nonzero) digits is 2500470, while the sum is 53.

The square root of 379759760 is about 19487.4256894029. The cubic root of 379759760 is about 724.1629721744.

The spelling of 379759760 in words is "three hundred seventy-nine million, seven hundred fifty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4746997 9493994 18987988 23734985 37975976 47469970 75951952 94939940 189879880 379759760