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968805738 = 23331432313
BaseRepresentation
bin111001101111101…
…100110101101010
32111111222102122000
4321233230311222
53441003240423
6240044511430
733002466345
oct7157546552
92444872560
10968805738
114579580aa
1223054b576
13125937744
149294b45c
155a0bd843
hex39becd6a

968805738 has 96 divisors (see below), whose sum is σ = 2282503680. Its totient is φ = 304274880.

The previous prime is 968805737. The next prime is 968805757. The reversal of 968805738 is 837508869.

It is a happy number.

968805738 is a `hidden beast` number, since 9 + 68 + 8 + 0 + 573 + 8 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (968805731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3095070 + ... + 3095382.

It is an arithmetic number, because the mean of its divisors is an integer number (23776080).

Almost surely, 2968805738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968805738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141251840).

968805738 is an abundant number, since it is smaller than the sum of its proper divisors (1313697942).

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

968805738 is a wasteful number, since it uses less digits than its factorization.

968805738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 968805738 is about 31125.6443788719. The cubic root of 968805738 is about 989.4918788271.

The spelling of 968805738 in words is "nine hundred sixty-eight million, eight hundred five thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 43 54 62 86 93 129 186 258 279 313 387 558 626 774 837 939 1161 1333 1674 1849 1878 2322 2666 2817 3698 3999 5547 5634 7998 8451 9703 11094 11997 13459 16641 16902 19406 23994 26918 29109 33282 35991 40377 49923 57319 58218 71982 80754 87327 99846 114638 121131 171957 174654 242262 261981 343914 363393 417229 515871 523962 578737 726786 834458 1031742 1157474 1251687 1547613 1736211 2503374 3095226 3472422 3755061 5208633 7510122 10417266 11265183 15625899 17940847 22530366 31251798 35881694 53822541 107645082 161467623 322935246 484402869 968805738