Search a number
-
+
988871490 = 23553731091
BaseRepresentation
bin111010111100001…
…111101101000010
32112220201212200000
4322330033231002
54011122341430
6242042540430
733335161155
oct7274175502
92486655600
10988871490
11468212872
12237207716
13129b41a79
1495491c9c
155bc33e60
hex3af0fb42

988871490 has 96 divisors (see below), whose sum is σ = 2675889216. Its totient is φ = 262751040.

The previous prime is 988871483. The next prime is 988871491. The reversal of 988871490 is 94178889.

988871490 is a `hidden beast` number, since 9 + 8 + 88 + 71 + 490 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (988871491) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 905845 + ... + 906935.

It is an arithmetic number, because the mean of its divisors is an integer number (27873846).

Almost surely, 2988871490 is an apocalyptic number.

988871490 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 988871490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337944608).

988871490 is an abundant number, since it is smaller than the sum of its proper divisors (1687017726).

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

988871490 is a wasteful number, since it uses less digits than its factorization.

988871490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 988871490 is about 31446.3271305251. The cubic root of 988871490 is about 996.2766505415.

The spelling of 988871490 in words is "nine hundred eighty-eight million, eight hundred seventy-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 373 405 486 746 810 1091 1119 1215 1865 2182 2238 2430 3273 3357 3730 5455 5595 6546 6714 9819 10071 10910 11190 16365 16785 19638 20142 29457 30213 32730 33570 49095 50355 58914 60426 88371 90639 98190 100710 147285 151065 176742 181278 265113 294570 302130 406943 441855 453195 530226 813886 883710 906390 1220829 1325565 2034715 2441658 2651130 3662487 4069430 6104145 7324974 10987461 12208290 18312435 21974922 32962383 36624870 54937305 65924766 98887149 109874610 164811915 197774298 329623830 494435745 988871490