Search a number
-
+
81577104 = 2437242789
BaseRepresentation
bin1001101110011…
…00010010010000
312200111112202020
410313030102100
5131340431404
612032251440
72010252060
oct467142220
9180445666
1081577104
11420590a4
12233a0b80
1313b9319b
14ab973a0
157265ed9
hex4dcc490

81577104 has 40 divisors (see below), whose sum is σ = 240847680. Its totient is φ = 23307648.

The previous prime is 81577103. The next prime is 81577129. The reversal of 81577104 is 40177518.

It is not an unprimeable number, because it can be changed into a prime (81577103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121059 + ... + 121730.

It is an arithmetic number, because the mean of its divisors is an integer number (6021192).

Almost surely, 281577104 is an apocalyptic number.

81577104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

81577104 is an abundant number, since it is smaller than the sum of its proper divisors (159270576).

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

81577104 is a wasteful number, since it uses less digits than its factorization.

81577104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242807 (or 242801 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 81577104 is about 9032.0044286969. The cubic root of 81577104 is about 433.7000057542.

The spelling of 81577104 in words is "eighty-one million, five hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 242789 485578 728367 971156 1456734 1699523 1942312 2913468 3399046 3884624 5098569 5826936 6798092 10197138 11653872 13596184 20394276 27192368 40788552 81577104