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47961945 = 3251065821
BaseRepresentation
bin1011011011110…
…1011101011001
310100020201102100
42312331131121
544234240240
64431554013
71121445513
oct266753531
9110221370
1047961945
1125089579
121408b909
139c23865
146526bb3
154325e30
hex2dbd759

47961945 has 12 divisors (see below), whose sum is σ = 83134116. Its totient is φ = 25579680.

The previous prime is 47961943. The next prime is 47961959. The reversal of 47961945 is 54916974.

It can be written as a sum of positive squares in 2 ways, for example, as 8874441 + 39087504 = 2979^2 + 6252^2 .

It is not a de Polignac number, because 47961945 - 21 = 47961943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1065821 = 47961945 / (4 + 7 + 9 + 6 + 1 + 9 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 47961945.

It is not an unprimeable number, because it can be changed into a prime (47961943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532866 + ... + 532955.

It is an arithmetic number, because the mean of its divisors is an integer number (6927843).

Almost surely, 247961945 is an apocalyptic number.

47961945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47961945 is a deficient number, since it is larger than the sum of its proper divisors (35172171).

47961945 is a wasteful number, since it uses less digits than its factorization.

47961945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065832 (or 1065829 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 47961945 is about 6925.4563026562. The cubic root of 47961945 is about 363.3280507794.

The spelling of 47961945 in words is "forty-seven million, nine hundred sixty-one thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 1065821 3197463 5329105 9592389 15987315 47961945