Search a number
-
+
385739172 = 2235731389
BaseRepresentation
bin10110111111011…
…110100110100100
3222212211120200000
4112333132212210
51242222123142
6102135421300
712362505000
oct2677364644
9885746600
10385739172
11188815605
12a9224830
1361bba540
1439331700
1523ce814c
hex16fde9a4

385739172 has 288 divisors, whose sum is σ = 1284192000. Its totient is φ = 100590336.

The previous prime is 385739161. The next prime is 385739183. The reversal of 385739172 is 271937583.

It is a happy number.

385739172 is a `hidden beast` number, since 3 + 8 + 573 + 9 + 1 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (385739161) and next prime (385739183).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4334104 + ... + 4334192.

It is an arithmetic number, because the mean of its divisors is an integer number (4459000).

Almost surely, 2385739172 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 385739172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642096000).

385739172 is an abundant number, since it is smaller than the sum of its proper divisors (898452828).

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

385739172 is a wasteful number, since it uses less digits than its factorization.

385739172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 385739172 is about 19640.2436848426. The cubic root of 385739172 is about 727.9439059343.

The spelling of 385739172 in words is "three hundred eighty-five million, seven hundred thirty-nine thousand, one hundred seventy-two".