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77044086 = 23275383139
BaseRepresentation
bin1001001011110…
…01100101110110
312100222020121200
410211321211312
5124210402321
611351153330
71623602220
oct445714566
9170866550
1077044086
113a5423a9
1221975846
1312c66b22
14a337410
156b6cd26
hex4979976

77044086 has 96 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 21183552.

The previous prime is 77044081. The next prime is 77044087. The reversal of 77044086 is 68044077.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 77044086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77044081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554205 + ... + 554343.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 277044086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77044086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

77044086 is an abundant number, since it is smaller than the sum of its proper divisors (121088394).

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

77044086 is a wasteful number, since it uses less digits than its factorization.

77044086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 77044086 is about 8777.4760609187. The cubic root of 77044086 is about 425.5132640900.

Subtracting from 77044086 its reverse (68044077), we obtain a palindrome (9000009).

The spelling of 77044086 in words is "seventy-seven million, forty-four thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 83 106 126 139 159 166 249 278 318 371 417 477 498 581 742 747 834 954 973 1113 1162 1251 1494 1743 1946 2226 2502 2919 3339 3486 4399 5229 5838 6678 7367 8757 8798 10458 11537 13197 14734 17514 22101 23074 26394 30793 34611 39591 44202 51569 61586 66303 69222 79182 80759 92379 103138 103833 132606 154707 161518 184758 207666 242277 277137 309414 464121 484554 554274 611461 726831 928242 1222922 1453662 1834383 3668766 4280227 5503149 8560454 11006298 12840681 25681362 38522043 77044086