Search a number
-
+
81254844 = 223211316619
BaseRepresentation
bin1001101011111…
…01100110111100
312122220011200200
410311331212330
5131300123334
612021323500
72004440406
oct465754674
9178804620
1081254844
1141958a70
1223266590
1313aac5b8
14ab11b76
157200799
hex4d7d9bc

81254844 has 72 divisors (see below), whose sum is σ = 231329280. Its totient is φ = 23824800.

The previous prime is 81254827. The next prime is 81254851. The reversal of 81254844 is 44845218.

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

It is a junction number, because it is equal to n+sod(n) for n = 81254799 and 81254808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8967 + ... + 15585.

Almost surely, 281254844 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 81254844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115664640).

81254844 is an abundant number, since it is smaller than the sum of its proper divisors (150074436).

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

81254844 is a wasteful number, since it uses less digits than its factorization.

81254844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6671 (or 6666 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 81254844 is about 9014.1468814303. The cubic root of 81254844 is about 433.1281598065.

The spelling of 81254844 in words is "eighty-one million, two hundred fifty-four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 6138 6619 12276 13238 19857 26476 39714 59571 72809 79428 119142 145618 205189 218427 238284 291236 410378 436854 615567 655281 820756 873708 1231134 1310562 1846701 2257079 2462268 2621124 3693402 4514158 6771237 7386804 9028316 13542474 20313711 27084948 40627422 81254844