Search a number
-
+
396507216 = 24372263641
BaseRepresentation
bin10111101000100…
…011100001010000
31000122002122122110
4113220203201100
51303001212331
6103202305320
712553153500
oct2750434120
91018078573
10396507216
111938aa816
12b0958240
13641ba871
143a935a00
1524c23946
hex17a23850

396507216 has 120 divisors (see below), whose sum is σ = 1197941184. Its totient is φ = 112680960.

The previous prime is 396507197. The next prime is 396507233. The reversal of 396507216 is 612705693.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618256 + ... + 618896.

Almost surely, 2396507216 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 396507216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598970592).

396507216 is an abundant number, since it is smaller than the sum of its proper divisors (801433968).

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

396507216 is a wasteful number, since it uses less digits than its factorization.

396507216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 396507216 is about 19912.4889453830. The cubic root of 396507216 is about 734.6554394057.

The spelling of 396507216 in words is "three hundred ninety-six million, five hundred seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 263 294 336 392 526 588 641 784 789 1052 1176 1282 1578 1841 1923 2104 2352 2564 3156 3682 3846 4208 4487 5128 5523 6312 7364 7692 8974 10256 11046 12624 12887 13461 14728 15384 17948 22092 25774 26922 29456 30768 31409 35896 38661 44184 51548 53844 62818 71792 77322 88368 94227 103096 107688 125636 154644 168583 188454 206192 215376 251272 309288 337166 376908 502544 505749 618576 674332 753816 1011498 1180081 1348664 1507632 2022996 2360162 2697328 3540243 4045992 4720324 7080486 8091984 8260567 9440648 14160972 16521134 18881296 24781701 28321944 33042268 49563402 56643888 66084536 99126804 132169072 198253608 396507216