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81214304 = 2517337443
BaseRepresentation
bin1001101011100…
…11101101100000
312122211010002012
410311303231200
5131242324204
612020412052
72004211253
oct465635540
9178733065
1081214304
1141930566
1223247028
1313a97002
14ab0109a
1571e376e
hex4d73b60

81214304 has 48 divisors (see below), whose sum is σ = 170181648. Its totient is φ = 38019072.

The previous prime is 81214283. The next prime is 81214307. The reversal of 81214304 is 40341218.

It is a self number, because there is not a number n which added to its sum of digits gives 81214304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81214307) 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, 183107 + ... + 183549.

It is an arithmetic number, because the mean of its divisors is an integer number (3545451).

Almost surely, 281214304 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 81214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85090824).

81214304 is an abundant number, since it is smaller than the sum of its proper divisors (88967344).

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

81214304 is a wasteful number, since it uses less digits than its factorization.

81214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 81214304 is about 9011.8979133144. The cubic root of 81214304 is about 433.0561151310.

It can be divided in two parts, 81214 and 304, that added together give a palindrome (81518).

The spelling of 81214304 in words is "eighty-one million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 337 443 544 674 886 1348 1772 2696 3544 5392 5729 7088 7531 10784 11458 14176 15062 22916 30124 45832 60248 91664 120496 149291 183328 240992 298582 597164 1194328 2388656 2537947 4777312 5075894 10151788 20303576 40607152 81214304