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997399200 = 25352759369
BaseRepresentation
bin111011011100110…
…001101010100000
32120111210010111010
4323130301222200
54020313233300
6242545420520
733500516250
oct7334615240
92514703433
10997399200
11472007866
1223a03a740
1312b839455
1496671960
155c86aa50
hex3b731aa0

997399200 has 144 divisors (see below), whose sum is σ = 3710387520. Its totient is φ = 227973120.

The previous prime is 997399157. The next prime is 997399201. The reversal of 997399200 is 2993799.

It is a happy number.

997399200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 997399200.

It is not an unprimeable number, because it can be changed into a prime (997399201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12885 + ... + 46484.

It is an arithmetic number, because the mean of its divisors is an integer number (25766580).

Almost surely, 2997399200 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 997399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855193760).

997399200 is an abundant number, since it is smaller than the sum of its proper divisors (2712988320).

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

997399200 is a wasteful number, since it uses less digits than its factorization.

997399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59399 (or 59386 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 48.

The square root of 997399200 is about 31581.6275704720. The cubic root of 997399200 is about 999.1323140054.

The spelling of 997399200 in words is "nine hundred ninety-seven million, three hundred ninety-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 59369 118738 178107 237476 296845 356214 415583 474952 593690 712428 831166 890535 949904 1187380 1246749 1424856 1484225 1662332 1781070 1899808 2077915 2374760 2493498 2849712 2968450 3324664 3562140 4155830 4452675 4749520 4986996 5699424 5936900 6233745 6649328 7124280 8311660 8905350 9499040 9973992 10389575 11873800 12467490 13298656 14248560 16623320 17810700 19947984 20779150 23747600 24934980 28497120 31168725 33246640 35621400 39895968 41558300 47495200 49869960 62337450 66493280 71242800 83116600 99739920 124674900 142485600 166233200 199479840 249349800 332466400 498699600 997399200