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47429640 = 23325131749
BaseRepresentation
bin1011010011101…
…1100000001000
310022020200020100
42310323200020
544120222030
64412325400
71114100556
oct264734010
9108220210
1047429640
1124855655
1213a73860
139a9849b
146428bd6
15426d360
hex2d3b808

47429640 has 48 divisors (see below), whose sum is σ = 154147500. Its totient is φ = 12647808.

The previous prime is 47429639. The next prime is 47429651. The reversal of 47429640 is 4692474.

47429640 is a `hidden beast` number, since 4 + 7 + 4 + 2 + 9 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45887076 + 1542564 = 6774^2 + 1242^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47429595 and 47429604.

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 11 ways as a sum of consecutive naturals, for example, 65515 + ... + 66234.

Almost surely, 247429640 is an apocalyptic number.

47429640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47429640 is an abundant number, since it is smaller than the sum of its proper divisors (106717860).

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

47429640 is a wasteful number, since it uses less digits than its factorization.

47429640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131766 (or 131759 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 47429640 is about 6886.9180334893. The cubic root of 47429640 is about 361.9789167946.

The spelling of 47429640 in words is "forty-seven million, four hundred twenty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 131749 263498 395247 526996 658745 790494 1053992 1185741 1317490 1580988 1976235 2371482 2634980 3161976 3952470 4742964 5269960 5928705 7904940 9485928 11857410 15809880 23714820 47429640