Search a number
-
+
996637500 = 2233552953
BaseRepresentation
bin111011011001110…
…111101100111100
32120110100102122000
4323121313230330
54020114400000
6242521222300
733461164455
oct7331675474
92513312560
10996637500
11471637561
12239931990
1312b630841
149651412c
155c76a000
hex3b677b3c

996637500 has 144 divisors (see below), whose sum is σ = 3230730720. Its totient is φ = 265680000.

The previous prime is 996637489. The next prime is 996637501. The reversal of 996637500 is 5736699.

996637500 is a `hidden beast` number, since 9 + 9 + 6 + 637 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996637501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336024 + ... + 338976.

It is an arithmetic number, because the mean of its divisors is an integer number (22435630).

Almost surely, 2996637500 is an apocalyptic number.

996637500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

996637500 is the 16875-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996637500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615365360).

996637500 is an abundant number, since it is smaller than the sum of its proper divisors (2234093220).

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

996637500 is a wasteful number, since it uses less digits than its factorization.

996637500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 996637500 is about 31569.5660407298. The cubic root of 996637500 is about 998.8779080473.

The spelling of 996637500 in words is "nine hundred ninety-six million, six hundred thirty-seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 625 675 750 900 1125 1250 1350 1500 1875 2250 2500 2700 2953 3125 3375 3750 4500 5625 5906 6250 6750 7500 8859 9375 11250 11812 12500 13500 14765 16875 17718 18750 22500 26577 28125 29530 33750 35436 37500 44295 53154 56250 59060 67500 73825 79731 84375 88590 106308 112500 132885 147650 159462 168750 177180 221475 265770 295300 318924 337500 369125 398655 442950 531540 664425 738250 797310 885900 1107375 1328850 1476500 1594620 1845625 1993275 2214750 2657700 3322125 3691250 3986550 4429500 5536875 6644250 7382500 7973100 9228125 9966375 11073750 13288500 16610625 18456250 19932750 22147500 27684375 33221250 36912500 39865500 49831875 55368750 66442500 83053125 99663750 110737500 166106250 199327500 249159375 332212500 498318750 996637500