[go: up one dir, main page]

Search a number
-
+
9922976 = 257311429
BaseRepresentation
bin100101110110…
…100110100000
3200200010202122
4211312212200
510020013401
6552403412
7150225650
oct45664640
920603678
109922976
115668308
1233a6568
1320957ab
141464360
15d1021b
hex9769a0

9922976 has 48 divisors (see below), whose sum is σ = 23063040. Its totient is φ = 4112640.

The previous prime is 9922967. The next prime is 9922987. The reversal of 9922976 is 6792299.

9922976 is a modest number, since divided by 2976 gives 992 as remainder.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6230 + ... + 7658.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 29922976 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 9922976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531520).

9922976 is an abundant number, since it is smaller than the sum of its proper divisors (13140064).

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

9922976 is a wasteful number, since it uses less digits than its factorization.

9922976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1469 counting only the distinct ones).

The product of its digits is 122472, while the sum is 44.

The square root of 9922976 is about 3150.0755546494. The cubic root of 9922976 is about 214.8888987909. Note that the first 4 decimals are identical.

The spelling of 9922976 in words is "nine million, nine hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1429 1736 2858 3472 5716 6944 10003 11432 20006 22864 40012 44299 45728 80024 88598 160048 177196 310093 320096 354392 620186 708784 1240372 1417568 2480744 4961488 9922976