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47673640 = 2357170263
BaseRepresentation
bin1011010111011…
…1000100101000
310022201001221101
42311313010220
544201024030
64421451144
71116135130
oct265670450
9108631841
1047673640
1124a01a03
1213b70ab4
139b52571
14648dac0
1542ba7ca
hex2d77128

47673640 has 32 divisors (see below), whose sum is σ = 122590080. Its totient is φ = 16345152.

The previous prime is 47673631. The next prime is 47673643. The reversal of 47673640 is 4637674.

47673640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47673640.

It is not an unprimeable number, because it can be changed into a prime (47673643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 84852 + ... + 85411.

It is an arithmetic number, because the mean of its divisors is an integer number (3830940).

Almost surely, 247673640 is an apocalyptic number.

47673640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47673640 is an abundant number, since it is smaller than the sum of its proper divisors (74916440).

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

47673640 is a wasteful number, since it uses less digits than its factorization.

47673640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170281 (or 170277 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The square root of 47673640 is about 6904.6100541595. The cubic root of 47673640 is about 362.5985843640.

It can be divided in two parts, 476736 and 40, that added together give a triangular number (476776 = T976).

The spelling of 47673640 in words is "forty-seven million, six hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 170263 340526 681052 851315 1191841 1362104 1702630 2383682 3405260 4767364 5959205 6810520 9534728 11918410 23836820 47673640