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988989696 = 2833236221
BaseRepresentation
bin111010111100101…
…100100100000000
32112220221212211000
4322330230210000
54011140132241
6242045252000
733336162612
oct7274544400
92486855730
10988989696
11468293662
12237264000
13129b83806
14954c2db2
155bc58eb6
hex3af2c900

988989696 has 144 divisors (see below), whose sum is σ = 3052264320. Its totient is φ = 315279360.

The previous prime is 988989667. The next prime is 988989709. The reversal of 988989696 is 696989889.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155866 + ... + 162086.

It is an arithmetic number, because the mean of its divisors is an integer number (21196280).

Almost surely, 2988989696 is an apocalyptic number.

988989696 is a gapful number since it is divisible by the number (96) 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 988989696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526132160).

988989696 is an abundant number, since it is smaller than the sum of its proper divisors (2063274624).

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

988989696 is a wasteful number, since it uses less digits than its factorization.

988989696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6269 (or 6249 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 72.

The square root of 988989696 is about 31448.2065625371. The cubic root of 988989696 is about 996.3163460216.

The spelling of 988989696 in words is "nine hundred eighty-eight million, nine hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 621 736 768 828 864 1104 1152 1242 1472 1656 1728 2208 2304 2484 2944 3312 3456 4416 4968 5888 6221 6624 6912 8832 9936 12442 13248 17664 18663 19872 24884 26496 37326 39744 49768 52992 55989 74652 79488 99536 111978 143083 149304 158976 167967 199072 223956 286166 298608 335934 398144 429249 447912 572332 597216 671868 796288 858498 895824 1144664 1194432 1287747 1343736 1592576 1716996 1791648 2289328 2388864 2575494 2687472 3433992 3583296 3863241 4578656 4777728 5150988 5374944 6867984 7166592 7726482 9157312 10301976 10749888 13735968 14333184 15452964 18314624 20603952 21499776 27471936 30905928 36629248 41207904 42999552 54943872 61811856 82415808 109887744 123623712 164831616 247247424 329663232 494494848 988989696