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47487720 = 2335756533
BaseRepresentation
bin1011010100100…
…1101011101000
310022100121220110
42311021223220
544124101340
64413454320
71114432110
oct265115350
9108317813
1047487720
1124895255
1213aa13a0
139ab8a57
146442040
154280680
hex2d49ae8

47487720 has 64 divisors (see below), whose sum is σ = 162817920. Its totient is φ = 10854144.

The previous prime is 47487701. The next prime is 47487721. The reversal of 47487720 is 2778474.

47487720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (47487721) 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 15 ways as a sum of consecutive naturals, for example, 27427 + ... + 29106.

It is an arithmetic number, because the mean of its divisors is an integer number (2544030).

Almost surely, 247487720 is an apocalyptic number.

47487720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47487720 is an abundant number, since it is smaller than the sum of its proper divisors (115330200).

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

47487720 is a wasteful number, since it uses less digits than its factorization.

47487720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56554 (or 56550 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 47487720 is about 6891.1334336232. The cubic root of 47487720 is about 362.1266103731.

The spelling of 47487720 in words is "forty-seven million, four hundred eighty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 56533 113066 169599 226132 282665 339198 395731 452264 565330 678396 791462 847995 1130660 1187193 1356792 1582924 1695990 1978655 2261320 2374386 3165848 3391980 3957310 4748772 5935965 6783960 7914620 9497544 11871930 15829240 23743860 47487720