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968764446 = 2321323110273
BaseRepresentation
bin111001101111100…
…010110000011110
32111111220022222200
4321233202300132
53441000430241
6240043552330
733002235066
oct7157426036
92444808880
10968764446
1145792a081
1223052b6a6
13125921a00
149293a3a6
155a0b14b6
hex39be2c1e

968764446 has 72 divisors (see below), whose sum is σ = 2346417216. Its totient is φ = 288437760.

The previous prime is 968764421. The next prime is 968764513. The reversal of 968764446 is 644467869.

It is a junction number, because it is equal to n+sod(n) for n = 968764392 and 968764401.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 89166 + ... + 99438.

It is an arithmetic number, because the mean of its divisors is an integer number (32589128).

Almost surely, 2968764446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968764446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173208608).

968764446 is an abundant number, since it is smaller than the sum of its proper divisors (1377652770).

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

968764446 is a wasteful number, since it uses less digits than its factorization.

968764446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10338 (or 10322 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 968764446 is about 31124.9810602352. The cubic root of 968764446 is about 989.4778207356.

The spelling of 968764446 in words is "nine hundred sixty-eight million, seven hundred sixty-four thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 169 186 234 279 338 403 507 558 806 1014 1209 1521 2418 3042 3627 5239 7254 10273 10478 15717 20546 30819 31434 47151 61638 92457 94302 133549 184914 267098 318463 400647 636926 801294 955389 1201941 1736137 1910778 2403882 2866167 3472274 4140019 5208411 5732334 8280038 10416822 12420057 15625233 24840114 31250466 37260171 53820247 74520342 107640494 161460741 322921482 484382223 968764446