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81336416 = 2571929659
BaseRepresentation
bin1001101100100…
…01100001100000
312200001022120212
410312101201200
5131310231131
612023153252
72005230260
oct466214140
9180038525
1081336416
1141a04287
12232a5828
1313b0a775
14ab337a0
157219a2b
hex4d91860

81336416 has 96 divisors (see below), whose sum is σ = 199584000. Its totient is φ = 31836672.

The previous prime is 81336407. The next prime is 81336419. The reversal of 81336416 is 61463318.

It is a super-2 number, since 2×813364162 = 13231225135450112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81336419) 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, 123095 + ... + 123753.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 281336416 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 81336416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792000).

81336416 is an abundant number, since it is smaller than the sum of its proper divisors (118247584).

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

81336416 is a wasteful number, since it uses less digits than its factorization.

81336416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 81336416 is about 9018.6704119842. The cubic root of 81336416 is about 433.2730509174.

The spelling of 81336416 in words is "eighty-one million, three hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 56 58 76 112 116 133 152 203 224 232 266 304 406 464 532 551 608 659 812 928 1064 1102 1318 1624 2128 2204 2636 3248 3857 4256 4408 4613 5272 6496 7714 8816 9226 10544 12521 15428 17632 18452 19111 21088 25042 30856 36904 38222 50084 61712 73808 76444 87647 100168 123424 133777 147616 152888 175294 200336 267554 305776 350588 363109 400672 535108 611552 701176 726218 1070216 1402352 1452436 2140432 2541763 2804704 2904872 4280864 5083526 5809744 10167052 11619488 20334104 40668208 81336416