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47856640 = 210513719
BaseRepresentation
bin1011011010001…
…1110000000000
310100001100222011
42312203300000
544222403030
64425422304
71120526506
oct266436000
9110040864
1047856640
1125017447
121403a994
139bb7950
1464da676
154304b2a
hex2da3c00

47856640 has 88 divisors (see below), whose sum is σ = 123802560. Its totient is φ = 17645568.

The previous prime is 47856617. The next prime is 47856647. The reversal of 47856640 is 4665874.

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 = 47856593 and 47856602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47856647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66201 + ... + 66919.

Almost surely, 247856640 is an apocalyptic number.

47856640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61901280).

47856640 is an abundant number, since it is smaller than the sum of its proper divisors (75945920).

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

47856640 is a wasteful number, since it uses less digits than its factorization.

47856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 47856640 is about 6917.8493767933. The cubic root of 47856640 is about 363.0619488664.

The spelling of 47856640 in words is "forty-seven million, eight hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 719 832 1024 1040 1280 1438 1664 2080 2560 2876 3328 3595 4160 5120 5752 6656 7190 8320 9347 11504 13312 14380 16640 18694 23008 28760 33280 37388 46016 46735 57520 66560 74776 92032 93470 115040 149552 184064 186940 230080 299104 368128 373880 460160 598208 736256 747760 920320 1196416 1495520 1840640 2392832 2991040 3681280 4785664 5982080 9571328 11964160 23928320 47856640