Search a number
-
+
80798688 = 2533175501
BaseRepresentation
bin1001101000011…
…10001111100000
312122000222222000
410310032033200
5131141024223
612003444000
72000530455
oct464161740
9178028860
1080798688
1141677283
1223086600
131397ca99
14aa3382c
157160543
hex4d0e3e0

80798688 has 96 divisors (see below), whose sum is σ = 249570720. Its totient is φ = 25344000.

The previous prime is 80798681. The next prime is 80798743. The reversal of 80798688 is 88689708.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80798681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11938 + ... + 17438.

It is an arithmetic number, because the mean of its divisors is an integer number (2599695).

Almost surely, 280798688 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 80798688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124785360).

80798688 is an abundant number, since it is smaller than the sum of its proper divisors (168772032).

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

80798688 is a wasteful number, since it uses less digits than its factorization.

80798688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 80798688 is about 8988.8090423593. The cubic root of 80798688 is about 432.3161266348.

The spelling of 80798688 in words is "eighty million, seven hundred ninety-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 5501 7344 11002 14688 16503 22004 33006 44008 49509 66012 88016 93517 99018 132024 148527 176032 187034 198036 264048 280551 297054 374068 396072 528096 561102 594108 748136 792144 841653 1122204 1188216 1496272 1584288 1683306 2244408 2376432 2524959 2992544 3366612 4488816 4752864 5049918 6733224 8977632 10099836 13466448 20199672 26932896 40399344 80798688