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949813904 = 241331114683
BaseRepresentation
bin111000100111010…
…000001010010000
32110012020112201202
4320213100022100
53421123021104
6234125450332
732352166514
oct7047201220
92405215652
10949813904
11448166276
122261109a8
13121a18180
1490206144
15585bb51e
hex389d0290

949813904 has 40 divisors (see below), whose sum is σ = 1988331072. Its totient is φ = 436936320.

The previous prime is 949813897. The next prime is 949813927. The reversal of 949813904 is 409318949.

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, 57347 + ... + 72029.

Almost surely, 2949813904 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 949813904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994165536).

949813904 is an abundant number, since it is smaller than the sum of its proper divisors (1038517168).

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

949813904 is a wasteful number, since it uses less digits than its factorization.

949813904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15015 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 949813904 is about 30819.0509912294. The cubic root of 949813904 is about 982.9833783976.

The spelling of 949813904 in words is "nine hundred forty-nine million, eight hundred thirteen thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 311 622 1244 2488 4043 4976 8086 14683 16172 29366 32344 58732 64688 117464 190879 234928 381758 763516 1527032 3054064 4566413 9132826 18265652 36531304 59363369 73062608 118726738 237453476 474906952 949813904