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81502416 = 2433375099
BaseRepresentation
bin1001101101110…
…10000011010000
312200100202022000
410312322003100
5131331034131
612030514000
72006521242
oct466720320
9180322260
1081502416
1142007a76
1223365900
1313b681a8
14ab78092
15724dce6
hex4dba0d0

81502416 has 80 divisors (see below), whose sum is σ = 240312000. Its totient is φ = 26428032.

The previous prime is 81502387. The next prime is 81502417. The reversal of 81502416 is 61420518.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 81502416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81502417) 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, 13435 + ... + 18533.

It is an arithmetic number, because the mean of its divisors is an integer number (3003900).

Almost surely, 281502416 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 81502416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120156000).

81502416 is an abundant number, since it is smaller than the sum of its proper divisors (158809584).

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

81502416 is a wasteful number, since it uses less digits than its factorization.

81502416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 81502416 is about 9027.8688515064. The cubic root of 81502416 is about 433.5676071806.

It can be divided in two parts, 81502 and 416, that added together give a palindrome (81918).

The spelling of 81502416 in words is "eighty-one million, five hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3996 5099 5328 7992 10198 15297 15984 20396 30594 40792 45891 61188 81584 91782 122376 137673 183564 188663 244752 275346 367128 377326 550692 565989 734256 754652 1101384 1131978 1509304 1697967 2202768 2263956 3018608 3395934 4527912 5093901 6791868 9055824 10187802 13583736 20375604 27167472 40751208 81502416