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47724420 = 22351137039
BaseRepresentation
bin1011011000001…
…1011110000100
310022210122121010
42312003132010
544204140140
64422522220
71116436152
oct266033604
9108718533
1047724420
1124a37077
1213b96370
139b6c703
1464a43d2
1542ca880
hex2d83784

47724420 has 48 divisors (see below), whose sum is σ = 134830080. Its totient is φ = 12612096.

The previous prime is 47724403. The next prime is 47724427. The reversal of 47724420 is 2442774.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (47724427) 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, 3261 + ... + 10299.

It is an arithmetic number, because the mean of its divisors is an integer number (2808960).

Almost surely, 247724420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47724420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67415040).

47724420 is an abundant number, since it is smaller than the sum of its proper divisors (87105660).

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

47724420 is a wasteful number, since it uses less digits than its factorization.

47724420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 47724420 is about 6908.2863287504. The cubic root of 47724420 is about 362.7272803791.

The spelling of 47724420 in words is "forty-seven million, seven hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6780 7039 14078 21117 28156 35195 42234 70390 84468 105585 140780 211170 422340 795407 1590814 2386221 3181628 3977035 4772442 7954070 9544884 11931105 15908140 23862210 47724420