Search a number
-
+
399286272 = 2133711211
BaseRepresentation
bin10111110011001…
…010000000000000
31000211022211210110
4113303022000000
51304204130042
6103342031320
712615606630
oct2763120000
91024284713
10399286272
11195428760
12b1878540
1364951788
143b05a6c0
15250c209c
hex17cca000

399286272 has 224 divisors, whose sum is σ = 1333707264. Its totient is φ = 103219200.

The previous prime is 399286253. The next prime is 399286289. The reversal of 399286272 is 272682993.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1892247 + ... + 1892457.

Almost surely, 2399286272 is an apocalyptic number.

399286272 is a gapful number since it is divisible by the number (32) 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 399286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666853632).

399286272 is an abundant number, since it is smaller than the sum of its proper divisors (934420992).

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

399286272 is a wasteful number, since it uses less digits than its factorization.

399286272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 234 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 399286272 is about 19982.1488333963. The cubic root of 399286272 is about 736.3678060813.

The spelling of 399286272 in words is "three hundred ninety-nine million, two hundred eighty-six thousand, two hundred seventy-two".