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81418304 = 2611176803
BaseRepresentation
bin1001101101001…
…01100001000000
312200012110220202
410312211201000
5131320341204
612025024332
72006021102
oct466454100
9180173822
1081418304
1141a5a860
12233250a8
1313b38b16
14ab55572
157233e1e
hex4da5840

81418304 has 56 divisors (see below), whose sum is σ = 186647328. Its totient is φ = 34826240.

The previous prime is 81418301. The next prime is 81418339. The reversal of 81418304 is 40381418.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (81418301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8567 + ... + 15369.

It is an arithmetic number, because the mean of its divisors is an integer number (3332988).

Almost surely, 281418304 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 81418304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93323664).

81418304 is an abundant number, since it is smaller than the sum of its proper divisors (105229024).

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

81418304 is a wasteful number, since it uses less digits than its factorization.

81418304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6843 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 81418304 is about 9023.2091852068. The cubic root of 81418304 is about 433.4184059140.

The spelling of 81418304 in words is "eighty-one million, four hundred eighteen thousand, three hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 6803 11968 13606 27212 54424 74833 108848 115651 149666 217696 231302 299332 435392 462604 598664 925208 1197328 1272161 1850416 2394656 2544322 3700832 4789312 5088644 7401664 10177288 20354576 40709152 81418304