Search a number
-
+
996212976 = 243112517517
BaseRepresentation
bin111011011000010…
…000000011110000
32120102112212021220
4323120100003300
54020012303401
6242504145040
733454446003
oct7330200360
92512485256
10996212976
11471377610
12239768180
1312b512545
149644353a
155c6d4336
hex3b6100f0

996212976 has 80 divisors (see below), whose sum is σ = 2819069568. Its totient is φ = 300640000.

The previous prime is 996212933. The next prime is 996212981. The reversal of 996212976 is 679212699.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128770 + ... + 136286.

Almost surely, 2996212976 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 996212976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409534784).

996212976 is an abundant number, since it is smaller than the sum of its proper divisors (1822856592).

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

996212976 is a wasteful number, since it uses less digits than its factorization.

996212976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7790 (or 7784 counting only the distinct ones).

The product of its digits is 734832, while the sum is 51.

The square root of 996212976 is about 31562.8416971603. The cubic root of 996212976 is about 998.7360618000.

The spelling of 996212976 in words is "nine hundred ninety-six million, two hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 251 264 502 528 753 1004 1506 2008 2761 3012 4016 5522 6024 7517 8283 11044 12048 15034 16566 22088 22551 30068 33132 44176 45102 60136 66264 82687 90204 120272 132528 165374 180408 248061 330748 360816 496122 661496 992244 1322992 1886767 1984488 3773534 3968976 5660301 7547068 11320602 15094136 20754437 22641204 30188272 41508874 45282408 62263311 83017748 90564816 124526622 166035496 249053244 332070992 498106488 996212976