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992457480 = 233574128817
BaseRepresentation
bin111011001001111…
…011001100001000
32120011111001201110
4323021323030020
54013032114410
6242251450320
733410515020
oct7311731410
92504431643
10992457480
1146a241aa3
122384569a0
1312a7c9061
1495b46a80
155c1e1720
hex3b27b308

992457480 has 128 divisors (see below), whose sum is σ = 3485825280. Its totient is φ = 221306880.

The previous prime is 992457469. The next prime is 992457481. The reversal of 992457480 is 84754299.

992457480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (992457481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20032 + ... + 48848.

It is an arithmetic number, because the mean of its divisors is an integer number (27233010).

Almost surely, 2992457480 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 992457480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742912640).

992457480 is an abundant number, since it is smaller than the sum of its proper divisors (2493367800).

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

992457480 is a wasteful number, since it uses less digits than its factorization.

992457480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28879 (or 28875 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 992457480 is about 31503.2931611919. The cubic root of 992457480 is about 997.4794789781.

The spelling of 992457480 in words is "nine hundred ninety-two million, four hundred fifty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 410 420 492 574 615 820 840 861 984 1148 1230 1435 1640 1722 2296 2460 2870 3444 4305 4920 5740 6888 8610 11480 17220 28817 34440 57634 86451 115268 144085 172902 201719 230536 288170 345804 403438 432255 576340 605157 691608 806876 864510 1008595 1152680 1181497 1210314 1613752 1729020 2017190 2362994 2420628 3025785 3458040 3544491 4034380 4725988 4841256 5907485 6051570 7088982 8068760 8270479 9451976 11814970 12103140 14177964 16540958 17722455 23629940 24206280 24811437 28355928 33081916 35444910 41352395 47259880 49622874 66163832 70889820 82704790 99245748 124057185 141779640 165409580 198491496 248114370 330819160 496228740 992457480