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47482820 = 22571122803
BaseRepresentation
bin1011010100100…
…0011111000100
310022100101011222
42311020133010
544123422240
64413415512
71114411610
oct265103704
9108311158
1047482820
1124891600
1213a9a598
139ab6758
146440340
15427deb5
hex2d487c4

47482820 has 72 divisors (see below), whose sum is σ = 125305152. Its totient is φ = 14794560.

The previous prime is 47482801. The next prime is 47482823. The reversal of 47482820 is 2828474.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (47482823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15539 + ... + 18341.

Almost surely, 247482820 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 47482820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62652576).

47482820 is an abundant number, since it is smaller than the sum of its proper divisors (77822332).

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

47482820 is a wasteful number, since it uses less digits than its factorization.

47482820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 47482820 is about 6890.7778951291. Note that the first 3 decimals coincide. The cubic root of 47482820 is about 362.1141546517.

The spelling of 47482820 in words is "forty-seven million, four hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 2803 3388 4235 5606 8470 11212 14015 16940 19621 28030 30833 39242 56060 61666 78484 98105 123332 154165 196210 215831 308330 339163 392420 431662 616660 678326 863324 1079155 1356652 1695815 2158310 2374141 3391630 4316620 4748282 6783260 9496564 11870705 23741410 47482820