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47885440 = 27574821
BaseRepresentation
bin1011011010101…
…0110010000000
310100002211110211
42312222302000
544224313230
64430203504
71121006461
oct266526200
9110084424
1047885440
1125037049
1214053594
139bc7aa5
146506d68
15430d42a
hex2daac80

47885440 has 32 divisors (see below), whose sum is σ = 114477660. Its totient is φ = 19153920.

The previous prime is 47885407. The next prime is 47885441. The reversal of 47885440 is 4458874.

It can be written as a sum of positive squares in 2 ways, for example, as 47444544 + 440896 = 6888^2 + 664^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 47885393 and 47885402.

It is not an unprimeable number, because it can be changed into a prime (47885441) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 36771 + ... + 38050.

Almost surely, 247885440 is an apocalyptic number.

47885440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47885440 is an abundant number, since it is smaller than the sum of its proper divisors (66592220).

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

47885440 is an equidigital number, since it uses as much as digits as its factorization.

47885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74840 (or 74828 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 47885440 is about 6919.9306354905. The cubic root of 47885440 is about 363.1347641701.

The spelling of 47885440 in words is "forty-seven million, eight hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 74821 149642 299284 374105 598568 748210 1197136 1496420 2394272 2992840 4788544 5985680 9577088 11971360 23942720 47885440