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396967480 = 23571328389
BaseRepresentation
bin10111101010010…
…011111000111000
31000122222001000021
4113222103320320
51303110424410
6103220220224
712560111410
oct2752237070
91018861007
10396967480
111940945a8
12b0b3a674
136431c200
143aa15640
1524cb4eda
hex17a93e38

396967480 has 96 divisors (see below), whose sum is σ = 1105466400. Its totient is φ = 125618688.

The previous prime is 396967477. The next prime is 396967507. The reversal of 396967480 is 84769693.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 43126 + ... + 51514.

It is an arithmetic number, because the mean of its divisors is an integer number (11515275).

Almost surely, 2396967480 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 396967480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552733200).

396967480 is an abundant number, since it is smaller than the sum of its proper divisors (708498920).

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

396967480 is a wasteful number, since it uses less digits than its factorization.

396967480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8433 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 396967480 is about 19924.0427624516. The cubic root of 396967480 is about 734.9395911911.

The spelling of 396967480 in words is "three hundred ninety-six million, nine hundred sixty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 169 182 260 280 338 364 455 520 676 728 845 910 1183 1352 1690 1820 2366 3380 3640 4732 5915 6760 8389 9464 11830 16778 23660 33556 41945 47320 58723 67112 83890 109057 117446 167780 218114 234892 293615 335560 436228 469784 545285 587230 763399 872456 1090570 1174460 1417741 1526798 2181140 2348920 2835482 3053596 3816995 4362280 5670964 6107192 7088705 7633990 9924187 11341928 14177410 15267980 19848374 28354820 30535960 39696748 49620935 56709640 79393496 99241870 198483740 396967480