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378575764 = 227211317093
BaseRepresentation
bin10110100100001…
…001101110010100
3222101100122022121
4112210021232110
51233403411024
6101322105324
712244561300
oct2644115624
9871318277
10378575764
11184772636
12a694b244
136057cb38
14383c8d00
15233808e4
hex16909b94

378575764 has 36 divisors (see below), whose sum is σ = 777537684. Its totient is φ = 160801536.

The previous prime is 378575759. The next prime is 378575777. The reversal of 378575764 is 467575873.

It can be written as a sum of positive squares in 2 ways, for example, as 82047364 + 296528400 = 9058^2 + 17220^2 .

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 11 ways as a sum of consecutive naturals, for example, 13602 + ... + 30694.

It is an arithmetic number, because the mean of its divisors is an integer number (21598269).

Almost surely, 2378575764 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 378575764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388768842).

378575764 is an abundant number, since it is smaller than the sum of its proper divisors (398961920).

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

378575764 is a wasteful number, since it uses less digits than its factorization.

378575764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17224 (or 17215 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 52.

The square root of 378575764 is about 19457.0235133743. The cubic root of 378575764 is about 723.4096023174.

The spelling of 378575764 in words is "three hundred seventy-eight million, five hundred seventy-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 113 196 226 452 791 1582 3164 5537 11074 17093 22148 34186 68372 119651 239302 478604 837557 1675114 1931509 3350228 3863018 7726036 13520563 27041126 54082252 94643941 189287882 378575764