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988634820 = 2235372231997
BaseRepresentation
bin111010111011010…
…101111011000100
32112220021212000110
4322323111323010
54011042303240
6242033513020
733333154155
oct7273257304
92486255013
10988634820
11468070a78
12237112770
13129a8b124
149542d92c
155bbd8c80
hex3aed5ec4

988634820 has 96 divisors (see below), whose sum is σ = 2857171968. Its totient is φ = 255232512.

The previous prime is 988634749. The next prime is 988634827. The reversal of 988634820 is 28436889.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 988634820.

It is not an unprimeable number, because it can be changed into a prime (988634827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494062 + ... + 496058.

It is an arithmetic number, because the mean of its divisors is an integer number (29762208).

Almost surely, 2988634820 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 988634820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428585984).

988634820 is an abundant number, since it is smaller than the sum of its proper divisors (1868537148).

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

988634820 is a wasteful number, since it uses less digits than its factorization.

988634820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 988634820 is about 31442.5638267620. The cubic root of 988634820 is about 996.1971634324.

The spelling of 988634820 in words is "nine hundred eighty-eight million, six hundred thirty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 223 370 444 446 555 669 740 892 1110 1115 1338 1997 2220 2230 2676 3345 3994 4460 5991 6690 7988 8251 9985 11982 13380 16502 19970 23964 24753 29955 33004 39940 41255 49506 59910 73889 82510 99012 119820 123765 147778 165020 221667 247530 295556 369445 443334 445331 495060 738890 886668 890662 1108335 1335993 1477780 1781324 2216670 2226655 2671986 4433340 4453310 5343972 6679965 8906620 13359930 16477247 26719860 32954494 49431741 65908988 82386235 98863482 164772470 197726964 247158705 329544940 494317410 988634820