Search a number
-
+
81561456 = 24322919531
BaseRepresentation
bin1001101110010…
…00011101110000
312200110202021200
410313020131300
5131334431311
612032051200
72010155334
oct467103560
9180422250
1081561456
1142048369
1223393b00
1313b89022
14ab917c4
157261556
hex4dc8770

81561456 has 60 divisors (see below), whose sum is σ = 236141880. Its totient is φ = 26248320.

The previous prime is 81561421. The next prime is 81561457. The reversal of 81561456 is 65416518.

It is a super-2 number, since 2×815614562 = 13304542209679872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 81561456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81561457) 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 11 ways as a sum of consecutive naturals, for example, 5590 + ... + 13941.

It is an arithmetic number, because the mean of its divisors is an integer number (3935698).

Almost surely, 281561456 is an apocalyptic number.

It is an amenable number.

81561456 is an abundant number, since it is smaller than the sum of its proper divisors (154580424).

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

81561456 is a wasteful number, since it uses less digits than its factorization.

81561456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19574 (or 19565 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 81561456 is about 9031.1381342553. The cubic root of 81561456 is about 433.6722734153.

The spelling of 81561456 in words is "eighty-one million, five hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 19531 39062 58593 78124 117186 156248 175779 234372 312496 351558 468744 566399 703116 937488 1132798 1406232 1699197 2265596 2812464 3398394 4531192 5097591 6796788 9062384 10195182 13593576 20390364 27187152 40780728 81561456