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393115212 = 2232715110331
BaseRepresentation
bin10111011011100…
…111011001001100
31000101201022200200
4113123213121030
51301114141322
6103001453500
712512265330
oct2733473114
91011638620
10393115212
111919a3306
12ab7a1290
13635a0969
143a2d17c0
15247a38ac
hex176e764c

393115212 has 72 divisors (see below), whose sum is σ = 1143297792. Its totient is φ = 111564000.

The previous prime is 393115211. The next prime is 393115223. The reversal of 393115212 is 212511393.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (393115211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32887 + ... + 43217.

It is an arithmetic number, because the mean of its divisors is an integer number (15879136).

Almost surely, 2393115212 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 393115212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571648896).

393115212 is an abundant number, since it is smaller than the sum of its proper divisors (750182580).

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

393115212 is a wasteful number, since it uses less digits than its factorization.

393115212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10499 (or 10494 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 393115212 is about 19827.1332269696. The cubic root of 393115212 is about 732.5545157778.

The spelling of 393115212 in words is "three hundred ninety-three million, one hundred fifteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 151 252 302 453 604 906 1057 1359 1812 2114 2718 3171 4228 5436 6342 9513 10331 12684 19026 20662 30993 38052 41324 61986 72317 92979 123972 144634 185958 216951 289268 371916 433902 650853 867804 1301706 1559981 2603412 3119962 4679943 6239924 9359886 10919867 14039829 18719772 21839734 28079658 32759601 43679468 56159316 65519202 98278803 131038404 196557606 393115212