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80297984 = 21413229
BaseRepresentation
bin1001100100101…
…00000000000000
312121002120010102
410302110000000
5131024013414
611545021532
71663343624
oct462240000
9177076112
1080297984
1141365078
1222a848a8
1313835c00
14a943184
1570b1ede
hex4c94000

80297984 has 90 divisors (see below), whose sum is σ = 179890830. Its totient is φ = 35782656.

The previous prime is 80297981. The next prime is 80297989. The reversal of 80297984 is 48979208.

It can be written as a sum of positive squares in 3 ways, for example, as 16384 + 80281600 = 128^2 + 8960^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80297981) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2768882 + ... + 2768910.

It is an arithmetic number, because the mean of its divisors is an integer number (1998787).

Almost surely, 280297984 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 80297984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89945415).

80297984 is an abundant number, since it is smaller than the sum of its proper divisors (99592846).

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

80297984 is an equidigital number, since it uses as much as digits as its factorization.

80297984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 80297984 is about 8960.9142390718. The cubic root of 80297984 is about 431.4212643571.

The spelling of 80297984 in words is "eighty million, two hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 169 208 232 256 338 377 416 464 512 676 754 832 928 1024 1352 1508 1664 1856 2048 2704 3016 3328 3712 4096 4901 5408 6032 6656 7424 8192 9802 10816 12064 13312 14848 16384 19604 21632 24128 26624 29696 39208 43264 48256 53248 59392 78416 86528 96512 106496 118784 156832 173056 193024 212992 237568 313664 346112 386048 475136 627328 692224 772096 1254656 1384448 1544192 2509312 2768896 3088384 5018624 6176768 10037248 20074496 40148992 80297984