Search a number
-
+
378857541 = 32331374787
BaseRepresentation
bin10110100101001…
…110100001000101
3222101212221211210
4112211032201011
51233441420131
6101332122033
712250143636
oct2645164105
9871787753
10378857541
11184945307
12a6a66319
136064b17a
143845d88d
15233d9146
hex1694e845

378857541 has 32 divisors (see below), whose sum is σ = 558931968. Its totient is φ = 227430720.

The previous prime is 378857533. The next prime is 378857569. The reversal of 378857541 is 145758873.

It is a happy number.

It is not a de Polignac number, because 378857541 - 23 = 378857533 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378857441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76750 + ... + 81536.

It is an arithmetic number, because the mean of its divisors is an integer number (17466624).

Almost surely, 2378857541 is an apocalyptic number.

378857541 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

378857541 is a deficient number, since it is larger than the sum of its proper divisors (180074427).

378857541 is a wasteful number, since it uses less digits than its factorization.

378857541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881.

The product of its digits is 940800, while the sum is 48.

The square root of 378857541 is about 19464.2631763959. The cubic root of 378857541 is about 723.5890376771.

The spelling of 378857541 in words is "three hundred seventy-eight million, eight hundred fifty-seven thousand, five hundred forty-one".

Divisors: 1 3 23 31 37 69 93 111 713 851 1147 2139 2553 3441 4787 14361 26381 79143 110101 148397 177119 330303 445191 531357 3413131 4073737 5490689 10239393 12221211 16472067 126285847 378857541