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81387450 = 23352192167
BaseRepresentation
bin1001101100111…
…01111110111010
312200010220121000
410312131332322
5131313344300
612024225430
72005532124
oct466357672
9180126530
1081387450
1141a39661
122330b276
1313b27a71
14ab48214
157229c00
hex4d9dfba

81387450 has 144 divisors (see below), whose sum is σ = 238109760. Its totient is φ = 20437920.

The previous prime is 81387443. The next prime is 81387473. The reversal of 81387450 is 5478318.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 487267 + ... + 487433.

It is an arithmetic number, because the mean of its divisors is an integer number (1653540).

Almost surely, 281387450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81387450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119054880).

81387450 is an abundant number, since it is smaller than the sum of its proper divisors (156722310).

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

81387450 is a wasteful number, since it uses less digits than its factorization.

81387450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 81387450 is about 9021.4993210663. The cubic root of 81387450 is about 433.3636500814.

It can be divided in two parts, 813 and 87450, that multiplied together give a triangular number (71096850 = T11924).

The spelling of 81387450 in words is "eighty-one million, three hundred eighty-seven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 135 150 167 171 190 225 270 285 334 342 361 450 475 501 513 570 675 722 835 855 950 1002 1026 1083 1350 1425 1503 1670 1710 1805 2166 2505 2565 2850 3006 3173 3249 3610 4175 4275 4509 5010 5130 5415 6346 6498 7515 8350 8550 9018 9025 9519 9747 10830 12525 12825 15030 15865 16245 18050 19038 19494 22545 25050 25650 27075 28557 31730 32490 37575 45090 47595 48735 54150 57114 60287 75150 79325 81225 85671 95190 97470 112725 120574 142785 158650 162450 171342 180861 225450 237975 243675 285570 301435 361722 428355 475950 487350 542583 602870 713925 856710 904305 1085166 1427850 1507175 1627749 1808610 2141775 2712915 3014350 3255498 4283550 4521525 5425830 8138745 9043050 13564575 16277490 27129150 40693725 81387450