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9472968 = 2332413209
BaseRepresentation
bin100100001000…
…101111001000
3122211021110200
4210020233020
54411113333
6535012200
7143342661
oct44105710
918737420
109472968
1153901aa
12320a060
131c68a0b
141388368
15c71c13
hex908bc8

9472968 has 48 divisors (see below), whose sum is σ = 26289900. Its totient is φ = 3079680.

The previous prime is 9472951. The next prime is 9472979. The reversal of 9472968 is 8692749.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8892324 + 580644 = 2982^2 + 762^2 .

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1348 + ... + 4556.

Almost surely, 29472968 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 9472968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13144950).

9472968 is an abundant number, since it is smaller than the sum of its proper divisors (16816932).

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

9472968 is a wasteful number, since it uses less digits than its factorization.

9472968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3255 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 9472968 is about 3077.8187081113. The cubic root of 9472968 is about 211.5901063004.

It can be divided in two parts, 9472 and 968, that added together give a triangular number (10440 = T144).

The spelling of 9472968 in words is "nine million, four hundred seventy-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 3209 6418 9627 12836 19254 25672 28881 38508 57762 77016 115524 131569 231048 263138 394707 526276 789414 1052552 1184121 1578828 2368242 3157656 4736484 9472968