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47287960 = 23519431447
BaseRepresentation
bin1011010001100…
…0111010011000
310021222110212221
42310120322120
544101203320
64405313424
71112640526
oct264307230
9107873787
1047287960
1124769165
1213a05874
139a48b55
1463cd316
1542413aa
hex2d18e98

47287960 has 64 divisors (see below), whose sum is σ = 114681600. Its totient is φ = 17490816.

The previous prime is 47287957. The next prime is 47287963. The reversal of 47287960 is 6978274.

It is an interprime number because it is at equal distance from previous prime (47287957) and next prime (47287963).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47287963) 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, 31957 + ... + 33403.

It is an arithmetic number, because the mean of its divisors is an integer number (1791900).

Almost surely, 247287960 is an apocalyptic number.

47287960 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 47287960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57340800).

47287960 is an abundant number, since it is smaller than the sum of its proper divisors (67393640).

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

47287960 is a wasteful number, since it uses less digits than its factorization.

47287960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 47287960 is about 6876.6241717866. The cubic root of 47287960 is about 361.6181274686.

The spelling of 47287960 in words is "forty-seven million, two hundred eighty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 86 95 152 172 190 215 344 380 430 760 817 860 1447 1634 1720 2894 3268 4085 5788 6536 7235 8170 11576 14470 16340 27493 28940 32680 54986 57880 62221 109972 124442 137465 219944 248884 274930 311105 497768 549860 622210 1099720 1182199 1244420 2364398 2488840 4728796 5910995 9457592 11821990 23643980 47287960