Search a number
-
+
81416478 = 231113313061
BaseRepresentation
bin1001101101001…
…01000100011110
312200012101102010
410312211010132
5131320311403
612025012050
72006012553
oct466450436
9180171363
1081416478
1141a59450
1223324026
1313b38040
14ab54a2a
157233603
hex4da511e

81416478 has 64 divisors (see below), whose sum is σ = 197535744. Its totient is φ = 22032000.

The previous prime is 81416473. The next prime is 81416479. The reversal of 81416478 is 87461418.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81416473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25068 + ... + 28128.

It is an arithmetic number, because the mean of its divisors is an integer number (3086496).

Almost surely, 281416478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81416478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98767872).

81416478 is an abundant number, since it is smaller than the sum of its proper divisors (116119266).

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

81416478 is a wasteful number, since it uses less digits than its factorization.

81416478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121.

The product of its digits is 43008, while the sum is 39.

The square root of 81416478 is about 9023.1080011269. The cubic root of 81416478 is about 433.4151657420.

The spelling of 81416478 in words is "eighty-one million, four hundred sixteen thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 186 286 341 403 429 682 806 858 1023 1209 2046 2418 3061 4433 6122 8866 9183 13299 18366 26598 33671 39793 67342 79586 94891 101013 119379 189782 202026 238758 284673 437723 569346 875446 1043801 1233583 1313169 2087602 2467166 2626338 3131403 3700749 6262806 7401498 13569413 27138826 40708239 81416478