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80858880 = 283257019
BaseRepresentation
bin1001101000111…
…00111100000000
312122011001112100
410310130330000
5131144441010
612005030400
72001201114
oct464347400
9178131470
1080858880
1141708523
12230b5400
13139a12bb
14aa4b744
1571732c0
hex4d1cf00

80858880 has 108 divisors (see below), whose sum is σ = 279803160. Its totient is φ = 21559296.

The previous prime is 80858879. The next prime is 80858887. The reversal of 80858880 is 8885808.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80858887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8011 + ... + 15029.

It is an arithmetic number, because the mean of its divisors is an integer number (2590770).

Almost surely, 280858880 is an apocalyptic number.

80858880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139901580).

80858880 is an abundant number, since it is smaller than the sum of its proper divisors (198944280).

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

80858880 is a wasteful number, since it uses less digits than its factorization.

80858880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The square root of 80858880 is about 8992.1565822666. The cubic root of 80858880 is about 432.4234531018.

The spelling of 80858880 in words is "eighty million, eight hundred fifty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 7019 11520 14038 21057 28076 35095 42114 56152 63171 70190 84228 105285 112304 126342 140380 168456 210570 224608 252684 280760 315855 336912 421140 449216 505368 561520 631710 673824 842280 898432 1010736 1123040 1263420 1347648 1684560 1796864 2021472 2246080 2526840 2695296 3369120 4042944 4492160 5053680 5390592 6738240 8085888 8984320 10107360 13476480 16171776 20214720 26952960 40429440 80858880