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47442473 = 1337531861
BaseRepresentation
bin1011010011111…
…0101000101001
310022021022211122
42310332220221
544121124343
64412505025
71114153151
oct264765051
9108238748
1047442473
1124864261
1213a7b175
139aa1290
14642d761
154272068
hex2d3ea29

47442473 has 16 divisors (see below), whose sum is σ = 53491536. Its totient is φ = 41783040.

The previous prime is 47442407. The next prime is 47442497. The reversal of 47442473 is 37424474.

It can be written as a sum of positive squares in 8 ways, for example, as 2458624 + 44983849 = 1568^2 + 6707^2 .

It is a de Polignac number, because none of the positive numbers 2k-47442473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47442673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24563 + ... + 26423.

It is an arithmetic number, because the mean of its divisors is an integer number (3343221).

Almost surely, 247442473 is an apocalyptic number.

It is an amenable number.

47442473 is a deficient number, since it is larger than the sum of its proper divisors (6049063).

47442473 is a wasteful number, since it uses less digits than its factorization.

47442473 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964.

The product of its digits is 75264, while the sum is 35.

The square root of 47442473 is about 6887.8496644454. The cubic root of 47442473 is about 362.0115606332.

The spelling of 47442473 in words is "forty-seven million, four hundred forty-two thousand, four hundred seventy-three".

Divisors: 1 13 37 53 481 689 1861 1961 24193 25493 68857 98633 895141 1282229 3649421 47442473