Search a number
-
+
79896000 = 263533329
BaseRepresentation
bin1001100001100…
…01110111000000
312120100010201010
410300301313000
5130423133000
611532240520
71660050642
oct460616700
9176303633
1079896000
1141110058
1222910140
1313724c52
14a87a892
157032d50
hex4c31dc0

79896000 has 112 divisors (see below), whose sum is σ = 263895840. Its totient is φ = 21299200.

The previous prime is 79895993. The next prime is 79896001. The reversal of 79896000 is 69897.

It is a self number, because there is not a number n which added to its sum of digits gives 79896000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79896001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22336 + ... + 25664.

Almost surely, 279896000 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 79896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131947920).

79896000 is an abundant number, since it is smaller than the sum of its proper divisors (183999840).

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

79896000 is a wasteful number, since it uses less digits than its factorization.

79896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 79896000 is about 8938.4562425511. The cubic root of 79896000 is about 430.7001393638.

The spelling of 79896000 in words is "seventy-nine million, eight hundred ninety-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 3329 4000 4800 6000 6658 8000 9987 12000 13316 16645 19974 24000 26632 33290 39948 49935 53264 66580 79896 83225 99870 106528 133160 159792 166450 199740 213056 249675 266320 319584 332900 399480 416125 499350 532640 639168 665800 798960 832250 998700 1065280 1248375 1331600 1597920 1664500 1997400 2496750 2663200 3195840 3329000 3994800 4993500 5326400 6658000 7989600 9987000 13316000 15979200 19974000 26632000 39948000 79896000