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988864040 = 2352931107257
BaseRepresentation
bin111010111100001…
…101111000101000
32112220201111110002
4322330031320220
54011122122130
6242042442132
733335130353
oct7274157050
92486644402
10988864040
1146820820a
12237203348
13129b3b568
149548d29a
155bc31b45
hex3af0de28

988864040 has 128 divisors (see below), whose sum is σ = 2407449600. Its totient is φ = 364707840.

The previous prime is 988864039. The next prime is 988864043. The reversal of 988864040 is 40468889.

It is not an unprimeable number, because it can be changed into a prime (988864043) 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, 3847592 + ... + 3847848.

It is an arithmetic number, because the mean of its divisors is an integer number (18808200).

Almost surely, 2988864040 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 988864040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203724800).

988864040 is an abundant number, since it is smaller than the sum of its proper divisors (1418585560).

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

988864040 is a wasteful number, since it uses less digits than its factorization.

988864040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 988864040 is about 31446.2086744968. The cubic root of 988864040 is about 996.2741486054.

The spelling of 988864040 in words is "nine hundred eighty-eight million, eight hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 107 116 124 145 155 214 232 248 257 290 310 428 514 535 580 620 856 899 1028 1070 1160 1240 1285 1798 2056 2140 2570 3103 3317 3596 4280 4495 5140 6206 6634 7192 7453 7967 8990 10280 12412 13268 14906 15515 15934 16585 17980 24824 26536 27499 29812 31030 31868 33170 35960 37265 39835 54998 59624 62060 63736 66340 74530 79670 96193 109996 124120 132680 137495 149060 159340 192386 219992 231043 274990 298120 318680 384772 462086 480965 549980 769544 797471 852469 924172 961930 1099960 1155215 1594942 1704938 1848344 1923860 2310430 3189884 3409876 3847720 3987355 4262345 4620860 6379768 6819752 7974710 8524690 9241720 15949420 17049380 24721601 31898840 34098760 49443202 98886404 123608005 197772808 247216010 494432020 988864040