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80461476 = 223217731801
BaseRepresentation
bin1001100101110…
…11111010100100
312121101212101200
410302323322210
5131044231401
611552322500
71664624364
oct462737244
9177355350
1080461476
1141466997
1222b43430
1313892454
14a9869a4
1570e5686
hex4cbbea4

80461476 has 72 divisors (see below), whose sum is σ = 218424024. Its totient is φ = 24883200.

The previous prime is 80461463. The next prime is 80461477. The reversal of 80461476 is 67416408.

It can be written as a sum of positive squares in 4 ways, for example, as 10304100 + 70157376 = 3210^2 + 8376^2 .

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 80461476.

It is not an unprimeable number, because it can be changed into a prime (80461477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43776 + ... + 45576.

It is an arithmetic number, because the mean of its divisors is an integer number (3033667).

Almost surely, 280461476 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 80461476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109212012).

80461476 is an abundant number, since it is smaller than the sum of its proper divisors (137962548).

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

80461476 is a wasteful number, since it uses less digits than its factorization.

80461476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 80461476 is about 8970.0321069659. The cubic root of 80461476 is about 431.7138665925.

The spelling of 80461476 in words is "eighty million, four hundred sixty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 438 612 657 876 1241 1314 1801 2482 2628 3602 3723 4964 5403 7204 7446 10806 11169 14892 16209 21612 22338 30617 32418 44676 61234 64836 91851 122468 131473 183702 262946 275553 367404 394419 525892 551106 788838 1102212 1183257 1577676 2235041 2366514 4470082 4733028 6705123 8940164 13410246 20115369 26820492 40230738 80461476