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81438300 = 223252412207
BaseRepresentation
bin1001101101010…
…10011001011100
312200020111100100
410312222121130
5131322011200
612025301100
72006133306
oct466523134
9180214310
1081438300
1141a73889
1223334790
1313b44c58
14ab5c976
157239d00
hex4daa65c

81438300 has 108 divisors (see below), whose sum is σ = 261608256. Its totient is φ = 21177600.

The previous prime is 81438283. The next prime is 81438307. The reversal of 81438300 is 383418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81438307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35797 + ... + 38003.

Almost surely, 281438300 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 81438300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130804128).

81438300 is an abundant number, since it is smaller than the sum of its proper divisors (180169956).

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

81438300 is a wasteful number, since it uses less digits than its factorization.

81438300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 81438300 is about 9024.3171486822. The cubic root of 81438300 is about 433.4538849346.

The spelling of 81438300 in words is "eighty-one million, four hundred thirty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2207 2460 3075 3690 4100 4414 6150 6621 7380 8828 9225 11035 12300 13242 18450 19863 22070 26484 33105 36900 39726 44140 55175 66210 79452 90487 99315 110350 132420 165525 180974 198630 220700 271461 331050 361948 397260 452435 496575 542922 662100 814383 904870 993150 1085844 1357305 1628766 1809740 1986300 2262175 2714610 3257532 4071915 4524350 5429220 6786525 8143830 9048700 13573050 16287660 20359575 27146100 40719150 81438300