Search a number
-
+
396012864 = 26313295471
BaseRepresentation
bin10111100110101…
…010110101000000
31000121011112112010
4113212222311000
51302334402424
6103143532520
712546024312
oct2746526500
91017145463
10396012864
111935a2365
12b075a140
1364076850
143a8477b2
1524b77229
hex179aad40

396012864 has 112 divisors (see below), whose sum is σ = 1167505920. Its totient is φ = 117626880.

The previous prime is 396012863. The next prime is 396012917. The reversal of 396012864 is 468210693.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396012863) 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, 69649 + ... + 75119.

It is an arithmetic number, because the mean of its divisors is an integer number (10424160).

Almost surely, 2396012864 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 396012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583752960).

396012864 is an abundant number, since it is smaller than the sum of its proper divisors (771493056).

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

396012864 is a wasteful number, since it uses less digits than its factorization.

396012864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528 (or 5518 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 396012864 is about 19900.0719596689. The cubic root of 396012864 is about 734.3499977823.

The spelling of 396012864 in words is "three hundred ninety-six million, twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 156 174 192 208 232 312 348 377 416 464 624 696 754 832 928 1131 1248 1392 1508 1856 2262 2496 2784 3016 4524 5471 5568 6032 9048 10942 12064 16413 18096 21884 24128 32826 36192 43768 65652 71123 72384 87536 131304 142246 158659 175072 213369 262608 284492 317318 350144 426738 475977 525216 568984 634636 853476 951954 1050432 1137968 1269272 1706952 1903908 2062567 2275936 2538544 3413904 3807816 4125134 4551872 5077088 6187701 6827808 7615632 8250268 10154176 12375402 13655616 15231264 16500536 24750804 30462528 33001072 49501608 66002144 99003216 132004288 198006432 396012864