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997067808 = 253211491641
BaseRepresentation
bin111011011011100…
…000110000100000
32120111011021220100
4323123200300200
54020222132213
6242534342400
733464636142
oct7333406040
92514137810
10997067808
11471900890
12239abaa00
1312b751669
14965c6c92
155c802773
hex3b6e0c20

997067808 has 144 divisors (see below), whose sum is σ = 3104311392. Its totient is φ = 301056000.

The previous prime is 997067791. The next prime is 997067831. The reversal of 997067808 is 808760799.

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

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 23 ways as a sum of consecutive naturals, for example, 1555168 + ... + 1555808.

It is an arithmetic number, because the mean of its divisors is an integer number (21557718).

Almost surely, 2997067808 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 997067808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552155696).

997067808 is an abundant number, since it is smaller than the sum of its proper divisors (2107243584).

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

997067808 is a wasteful number, since it uses less digits than its factorization.

997067808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 997067808 is about 31576.3805398909. The cubic root of 997067808 is about 999.0216458019.

The spelling of 997067808 in words is "nine hundred ninety-seven million, sixty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 491 528 641 792 982 1056 1282 1473 1584 1923 1964 2564 2946 3168 3846 3928 4419 5128 5401 5769 5892 7051 7692 7856 8838 10256 10802 11538 11784 14102 15384 15712 16203 17676 20512 21153 21604 23076 23568 28204 30768 32406 35352 42306 43208 46152 47136 48609 56408 61536 63459 64812 70704 84612 86416 92304 97218 112816 126918 129624 141408 169224 172832 184608 194436 225632 253836 259248 314731 338448 388872 507672 518496 629462 676896 777744 944193 1015344 1258924 1555488 1888386 2030688 2517848 2832579 3462041 3776772 5035696 5665158 6924082 7553544 10071392 10386123 11330316 13848164 15107088 20772246 22660632 27696328 30214176 31158369 41544492 45321264 55392656 62316738 83088984 90642528 110785312 124633476 166177968 249266952 332355936 498533904 997067808