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81542384 = 247113547
BaseRepresentation
bin1001101110000…
…11110011110000
312200102210010022
410313003303300
5131333324014
612031423012
72010045620
oct467036360
9180383108
1081542384
1142035000
1223384a68
1313b80441
14ab88880
15725aa8e
hex4dc3cf0

81542384 has 80 divisors (see below), whose sum is σ = 198963456. Its totient is φ = 31711680.

The previous prime is 81542381. The next prime is 81542393. The reversal of 81542384 is 48324518.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81542381) 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, 148799 + ... + 149345.

Almost surely, 281542384 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 81542384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99481728).

81542384 is an abundant number, since it is smaller than the sum of its proper divisors (117421072).

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

81542384 is a wasteful number, since it uses less digits than its factorization.

81542384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 567 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 81542384 is about 9030.0821701688. The cubic root of 81542384 is about 433.6384680585.

The spelling of 81542384 in words is "eighty-one million, five hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 547 616 847 968 1094 1232 1331 1694 1936 2188 2662 3388 3829 4376 5324 6017 6776 7658 8752 9317 10648 12034 13552 15316 18634 21296 24068 30632 37268 42119 48136 61264 66187 74536 84238 96272 132374 149072 168476 264748 336952 463309 529496 673904 728057 926618 1058992 1456114 1853236 2912228 3706472 5096399 5824456 7412944 10192798 11648912 20385596 40771192 81542384