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393272112 = 24337792803
BaseRepresentation
bin10111011100001…
…101101100110000
31000102000021220210
4113130031230300
51301134201422
6103005104120
712513520632
oct2734155460
91012007823
10393272112
11191aa0182
12ab858040
13636271bc
143a332a52
15247d510c
hex1770db30

393272112 has 80 divisors (see below), whose sum is σ = 1056995840. Its totient is φ = 125888256.

The previous prime is 393272081. The next prime is 393272119. The reversal of 393272112 is 211272393.

It is a self number, because there is not a number n which added to its sum of digits gives 393272112.

It is not an unprimeable number, because it can be changed into a prime (393272119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138903 + ... + 141705.

It is an arithmetic number, because the mean of its divisors is an integer number (13212448).

Almost surely, 2393272112 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 393272112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528497920).

393272112 is an abundant number, since it is smaller than the sum of its proper divisors (663723728).

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

393272112 is a wasteful number, since it uses less digits than its factorization.

393272112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2924 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 393272112 is about 19831.0895313394. The cubic root of 393272112 is about 732.6519617785.

The spelling of 393272112 in words is "three hundred ninety-three million, two hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 79 111 148 158 222 237 296 316 444 474 592 632 888 948 1264 1776 1896 2803 2923 3792 5606 5846 8409 8769 11212 11692 16818 17538 22424 23384 33636 35076 44848 46768 67272 70152 103711 134544 140304 207422 221437 311133 414844 442874 622266 664311 829688 885748 1244532 1328622 1659376 1771496 2489064 2657244 3542992 4978128 5314488 8193169 10628976 16386338 24579507 32772676 49159014 65545352 98318028 131090704 196636056 393272112