Search a number
-
+
80026368 = 283791319
BaseRepresentation
bin1001100010100…
…01101100000000
312120120202112120
410301101230000
5130441320433
611535124240
71661133012
oct461215400
9176522476
1080026368
1141199aa4
1222973680
131376c3a6
14a8b21b2
15705b7b3
hex4c51b00

80026368 has 72 divisors (see below), whose sum is σ = 215846400. Its totient is φ = 26317824.

The previous prime is 80026363. The next prime is 80026369. The reversal of 80026368 is 86362008.

It is not an unprimeable number, because it can be changed into a prime (80026363) 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, 60013 + ... + 61331.

Almost surely, 280026368 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 80026368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107923200).

80026368 is an abundant number, since it is smaller than the sum of its proper divisors (135820032).

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

80026368 is a wasteful number, since it uses less digits than its factorization.

80026368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 80026368 is about 8945.7458045710. The cubic root of 80026368 is about 430.9342729178.

The spelling of 80026368 in words is "eighty million, twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1319 1896 2528 2638 3792 3957 5056 5276 7584 7914 10112 10552 15168 15828 20224 21104 30336 31656 42208 60672 63312 84416 104201 126624 168832 208402 253248 312603 337664 416804 506496 625206 833608 1012992 1250412 1667216 2500824 3334432 5001648 6668864 10003296 13337728 20006592 26675456 40013184 80026368