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946130444 = 227172517919
BaseRepresentation
bin111000011001001…
…100111000001100
32102221022101222022
4320121030320030
53414202133234
6233514505312
732305655540
oct7031147014
92387271868
10946130444
1144607a896
12224a35238
131210286cc
148d927a20
15580dee2e
hex3864ce0c

946130444 has 48 divisors (see below), whose sum is σ = 2011806720. Its totient is φ = 380064000.

The previous prime is 946130407. The next prime is 946130459. The reversal of 946130444 is 444031649.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115517 + ... + 123435.

It is an arithmetic number, because the mean of its divisors is an integer number (41912640).

Almost surely, 2946130444 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 946130444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005903360).

946130444 is an abundant number, since it is smaller than the sum of its proper divisors (1065676276).

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

946130444 is a wasteful number, since it uses less digits than its factorization.

946130444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8198 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 946130444 is about 30759.2334754948. The cubic root of 946130444 is about 981.7110341993.

The spelling of 946130444 in words is "nine hundred forty-six million, one hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 251 476 502 1004 1757 3514 4267 7028 7919 8534 15838 17068 29869 31676 55433 59738 110866 119476 134623 221732 269246 538492 942361 1884722 1987669 3769444 3975338 7950676 13913683 27827366 33790373 55654732 67580746 135161492 236532611 473065222 946130444