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880127472 = 24375994373
BaseRepresentation
bin110100011101011…
…010110111110000
32021100010002220210
4310131122313300
53300303034342
6223200104120
730544650210
oct6435326760
92240102823
10880127472
11411899884
12206905040
131104592b3
1484c66240
155240379c
hex3475adf0

880127472 has 80 divisors (see below), whose sum is σ = 2603404800. Its totient is φ = 250987776.

The previous prime is 880127447. The next prime is 880127539. The reversal of 880127472 is 274721088.

It is a super-2 number, since 2×8801274722 = 1549248733938221568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 880127472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199078 + ... + 203450.

It is an arithmetic number, because the mean of its divisors is an integer number (32542560).

Almost surely, 2880127472 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 880127472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301702400).

880127472 is an abundant number, since it is smaller than the sum of its proper divisors (1723277328).

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

880127472 is a wasteful number, since it uses less digits than its factorization.

880127472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 880127472 is about 29666.9424107035. The cubic root of 880127472 is about 958.3302397749.

The spelling of 880127472 in words is "eight hundred eighty million, one hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 599 1198 1797 2396 3594 4193 4373 4792 7188 8386 8746 9584 12579 13119 14376 16772 17492 25158 26238 28752 30611 33544 34984 50316 52476 61222 67088 69968 91833 100632 104952 122444 183666 201264 209904 244888 367332 489776 734664 1469328 2619427 5238854 7858281 10477708 15716562 18335989 20955416 31433124 36671978 41910832 55007967 62866248 73343956 110015934 125732496 146687912 220031868 293375824 440063736 880127472