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9968352 = 253103837
BaseRepresentation
bin100110000001…
…101011100000
3200202110000020
4212001223200
510022441402
6553353440
7150505152
oct46015340
920673006
109968352
115699409
123408880
1320b0344
141476ad2
15d1d8bc
hex981ae0

9968352 has 24 divisors (see below), whose sum is σ = 26167176. Its totient is φ = 3322752.

The previous prime is 9968351. The next prime is 9968359. The reversal of 9968352 is 2538699.

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968351) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51823 + ... + 52014.

It is an arithmetic number, because the mean of its divisors is an integer number (1090299).

Almost surely, 29968352 is an apocalyptic number.

It is an amenable number.

9968352 is an abundant number, since it is smaller than the sum of its proper divisors (16198824).

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

9968352 is a wasteful number, since it uses less digits than its factorization.

9968352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103850 (or 103842 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 9968352 is about 3157.2697065661. The cubic root of 9968352 is about 215.2159503202.

The spelling of 9968352 in words is "nine million, nine hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103837 207674 311511 415348 623022 830696 1246044 1661392 2492088 3322784 4984176 9968352