Search a number
-
+
376512864 = 253721347131
BaseRepresentation
bin10110011100010…
…010000101100000
3222020110211112220
4112130102011200
51232341402424
6101205551040
712221210100
oct2634220540
9866424486
10376512864
11183593762
12a6115480
1360009ba0
143800d200
15230c4579
hex16712160

376512864 has 288 divisors, whose sum is σ = 1274144256. Its totient is φ = 96445440.

The previous prime is 376512863. The next prime is 376512883. The reversal of 376512864 is 468215673.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376512863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2874079 + ... + 2874209.

It is an arithmetic number, because the mean of its divisors is an integer number (4424112).

Almost surely, 2376512864 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 376512864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637072128).

376512864 is an abundant number, since it is smaller than the sum of its proper divisors (897631392).

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

376512864 is a wasteful number, since it uses less digits than its factorization.

376512864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 376512864 is about 19403.9393938447. The cubic root of 376512864 is about 722.0932295210.

The spelling of 376512864 in words is "three hundred seventy-six million, five hundred twelve thousand, eight hundred sixty-four".