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389114880 = 21035721147
BaseRepresentation
bin10111001100010…
…110110000000000
31000010012002021020
4113030112300000
51244103134010
6102340025440
712433264500
oct2714266000
91003162236
10389114880
1118a710850
12aa392280
13627ccbbb
143996da00
1524263470
hex17316c00

389114880 has 528 divisors, whose sum is σ = 1612970496. Its totient is φ = 79134720.

The previous prime is 389114867. The next prime is 389114881. The reversal of 389114880 is 88411983.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is not an unprimeable number, because it can be changed into a prime (389114881) 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, 8279017 + ... + 8279063.

Almost surely, 2389114880 is an apocalyptic number.

389114880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806485248).

389114880 is an abundant number, since it is smaller than the sum of its proper divisors (1223855616).

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

389114880 is a wasteful number, since it uses less digits than its factorization.

389114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 389114880 is about 19725.9950319369. The cubic root of 389114880 is about 730.0612196109.

The spelling of 389114880 in words is "three hundred eighty-nine million, one hundred fourteen thousand, eight hundred eighty".