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396484742256 = 24329619460147
BaseRepresentation
bin1011100010100000101…
…01010000110001110000
31101220101200222202220120
411301100111100301300
522444000043223011
6502050444010240
740434155463111
oct5612025206160
91356350882816
10396484742256
1114316a334209
1264a11b30980
132b50828bc85
1415293392208
15a4a7ec5a06
hex5c50550c70

396484742256 has 80 divisors (see below), whose sum is σ = 1061285347200. Its totient is φ = 127397862144.

The previous prime is 396484742239. The next prime is 396484742257. The reversal of 396484742256 is 652247484693.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 396484742256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396484742257) 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, 631575 + ... + 1091721.

It is an arithmetic number, because the mean of its divisors is an integer number (13266066840).

Almost surely, 2396484742256 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 396484742256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530642673600).

396484742256 is an abundant number, since it is smaller than the sum of its proper divisors (664800604944).

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

396484742256 is a wasteful number, since it uses less digits than its factorization.

396484742256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460806 (or 460800 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 60.

The spelling of 396484742256 in words is "three hundred ninety-six billion, four hundred eighty-four million, seven hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 619 696 1238 1392 1857 2476 3714 4952 7428 9904 14856 17951 29712 35902 53853 71804 107706 143608 215412 287216 430824 460147 861648 920294 1380441 1840588 2760882 3681176 5521764 7362352 11043528 13344263 22087056 26688526 40032789 53377052 80065578 106754104 160131156 213508208 284830993 320262312 569661986 640524624 854492979 1139323972 1708985958 2278647944 3417971916 4557295888 6835943832 8260098797 13671887664 16520197594 24780296391 33040395188 49560592782 66080790376 99121185564 132161580752 198242371128 396484742256