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969972948 = 223374093137
BaseRepresentation
bin111001110100001…
…001110011010100
32111121011201202000
4321310021303110
53441303113243
6240125515300
733015430320
oct7164116324
92447151660
10969972948
1145858503a
12230a12b30
13125c55ab9
1492b72980
155a24e5d3
hex39d09cd4

969972948 has 96 divisors (see below), whose sum is σ = 2881939200. Its totient is φ = 276369408.

The previous prime is 969972931. The next prime is 969972959. The reversal of 969972948 is 849279969.

969972948 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307636 + ... + 310772.

It is an arithmetic number, because the mean of its divisors is an integer number (30020200).

Almost surely, 2969972948 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 969972948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440969600).

969972948 is an abundant number, since it is smaller than the sum of its proper divisors (1911966252).

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

969972948 is a wasteful number, since it uses less digits than its factorization.

969972948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3558 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The square root of 969972948 is about 31144.3887080803. The cubic root of 969972948 is about 989.8890968513.

The spelling of 969972948 in words is "nine hundred sixty-nine million, nine hundred seventy-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 409 756 818 1227 1636 2454 2863 3137 3681 4908 5726 6274 7362 8589 9411 11043 11452 12548 14724 17178 18822 21959 22086 25767 28233 34356 37644 43918 44172 51534 56466 65877 77301 84699 87836 103068 112932 131754 154602 169398 197631 263508 309204 338796 395262 592893 790524 1185786 1283033 2371572 2566066 3849099 5132132 7698198 8981231 11547297 15396396 17962462 23094594 26943693 34641891 35924924 46189188 53887386 69283782 80831079 107774772 138567564 161662158 242493237 323324316 484986474 969972948