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80224768 = 291317709
BaseRepresentation
bin1001100100000…
…10001000000000
312120221211200201
410302002020000
5131014143033
611543254544
71662620311
oct462021000
9176854621
1080224768
1141315068
1222a4a454
131380b7a0
14a924608
15709a47d
hex4c82200

80224768 has 80 divisors (see below), whose sum is σ = 183035160. Its totient is φ = 34799616.

The previous prime is 80224733. The next prime is 80224787. The reversal of 80224768 is 86742208.

It can be written as a sum of positive squares in 4 ways, for example, as 51151104 + 29073664 = 7152^2 + 5392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112798 + ... + 113506.

Almost surely, 280224768 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 80224768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91517580).

80224768 is an abundant number, since it is smaller than the sum of its proper divisors (102810392).

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

80224768 is a wasteful number, since it uses less digits than its factorization.

80224768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 80224768 is about 8956.8280099598. The cubic root of 80224768 is about 431.2901006469.

The spelling of 80224768 in words is "eighty million, two hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 512 544 709 832 884 1088 1418 1664 1768 2176 2836 3328 3536 4352 5672 6656 7072 8704 9217 11344 12053 14144 18434 22688 24106 28288 36868 45376 48212 56576 73736 90752 96424 113152 147472 156689 181504 192848 294944 313378 363008 385696 589888 626756 771392 1179776 1253512 1542784 2359552 2507024 3085568 4719104 5014048 6171136 10028096 20056192 40112384 80224768