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989951072 = 251117198707
BaseRepresentation
bin111011000000010…
…111010001100000
32112222202201120112
4323000113101200
54011411413242
6242122030452
733350305505
oct7300272140
92488681515
10989951072
1146888a990
12237648428
1312a12c286
14956934ac
155bd98c82
hex3b017460

989951072 has 96 divisors (see below), whose sum is σ = 2369969280. Its totient is φ = 401172480.

The previous prime is 989951071. The next prime is 989951093. The reversal of 989951072 is 270159989.

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 989951072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989951071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109343 + ... + 118049.

It is an arithmetic number, because the mean of its divisors is an integer number (24687180).

Almost surely, 2989951072 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 989951072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184984640).

989951072 is an abundant number, since it is smaller than the sum of its proper divisors (1380018208).

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

989951072 is a wasteful number, since it uses less digits than its factorization.

989951072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8764 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 50.

The square root of 989951072 is about 31463.4879185382. The cubic root of 989951072 is about 996.6390741657.

The spelling of 989951072 in words is "nine hundred eighty-nine million, nine hundred fifty-one thousand, seventy-two".

Divisors: 1 2 4 8 11 16 17 19 22 32 34 38 44 68 76 88 136 152 176 187 209 272 304 323 352 374 418 544 608 646 748 836 1292 1496 1672 2584 2992 3344 3553 5168 5984 6688 7106 8707 10336 14212 17414 28424 34828 56848 69656 95777 113696 139312 148019 165433 191554 278624 296038 330866 383108 592076 661732 766216 1184152 1323464 1532432 1628209 1819763 2368304 2646928 2812361 3064864 3256418 3639526 4736608 5293856 5624722 6512836 7279052 11249444 13025672 14558104 22498888 26051344 29116208 30935971 44997776 52102688 58232416 61871942 89995552 123743884 247487768 494975536 989951072