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47089040 = 2452920297
BaseRepresentation
bin1011001110100…
…0010110010000
310021121101000112
42303220112100
544023322130
64401140452
71111151555
oct263502620
9107541015
1047089040
1124642769
121392a728
1399a944b
14637aa2c
154202495
hex2ce8590

47089040 has 40 divisors (see below), whose sum is σ = 113262840. Its totient is φ = 18185216.

The previous prime is 47089039. The next prime is 47089051. The reversal of 47089040 is 4098074.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4734976 + 42354064 = 2176^2 + 6508^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 47088988 and 47089006.

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, 7829 + ... + 12468.

It is an arithmetic number, because the mean of its divisors is an integer number (2831571).

Almost surely, 247089040 is an apocalyptic number.

47089040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47089040 is an abundant number, since it is smaller than the sum of its proper divisors (66173800).

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

47089040 is a wasteful number, since it uses less digits than its factorization.

47089040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20339 (or 20333 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 47089040 is about 6862.1454371064. The cubic root of 47089040 is about 361.1103577806.

It can be divided in two parts, 470890 and 40, that multiplied together give a square (18835600 = 43402).

The spelling of 47089040 in words is "forty-seven million, eighty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 20297 40594 81188 101485 162376 202970 324752 405940 588613 811880 1177226 1623760 2354452 2943065 4708904 5886130 9417808 11772260 23544520 47089040