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949172240 = 24511864653
BaseRepresentation
bin111000100100110…
…011100000010000
32110011000221112102
4320210303200100
53420442002430
6234104015532
732343555002
oct7044634020
92404027472
10949172240
11447868175
12225a615a8
131218520a3
14900ba372
15584e1345
hex38933810

949172240 has 20 divisors (see below), whose sum is σ = 2206825644. Its totient is φ = 379668864.

The previous prime is 949172221. The next prime is 949172251. The reversal of 949172240 is 42271949.

949172240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 736362496 + 212809744 = 27136^2 + 14588^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 949172194 and 949172203.

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 3 ways as a sum of consecutive naturals, for example, 5932247 + ... + 5932406.

Almost surely, 2949172240 is an apocalyptic number.

It is an amenable number.

949172240 is an abundant number, since it is smaller than the sum of its proper divisors (1257653404).

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

949172240 is a wasteful number, since it uses less digits than its factorization.

949172240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11864666 (or 11864660 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 949172240 is about 30808.6390481631. The cubic root of 949172240 is about 982.7619711183.

The spelling of 949172240 in words is "nine hundred forty-nine million, one hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 11864653 23729306 47458612 59323265 94917224 118646530 189834448 237293060 474586120 949172240