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997951050 = 233523719979
BaseRepresentation
bin111011011110111…
…000011001001010
32120112211011111000
4323132320121022
54020433413200
6243005315430
733505305165
oct7336703112
92515734430
10997951050
11472354438
1223a265b76
1312b9a06a5
1496776adc
155c929300
hex3b7b864a

997951050 has 96 divisors (see below), whose sum is σ = 2824372800. Its totient is φ = 258914880.

The previous prime is 997951049. The next prime is 997951061. The reversal of 997951050 is 50159799.

It is a super-2 number, since 2×9979510502 = 1991812596392205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 997950987 and 997951005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39961 + ... + 59939.

It is an arithmetic number, because the mean of its divisors is an integer number (29420550).

Almost surely, 2997951050 is an apocalyptic number.

997951050 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 997951050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412186400).

997951050 is an abundant number, since it is smaller than the sum of its proper divisors (1826421750).

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

997951050 is a wasteful number, since it uses less digits than its factorization.

997951050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20037 (or 20026 counting only the distinct ones).

The product of its (nonzero) digits is 127575, while the sum is 45.

The square root of 997951050 is about 31590.3632457748. The cubic root of 997951050 is about 999.3165496687.

The spelling of 997951050 in words is "nine hundred ninety-seven million, nine hundred fifty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 37 45 50 54 74 75 90 111 135 150 185 222 225 270 333 370 450 555 666 675 925 999 1110 1350 1665 1850 1998 2775 3330 4995 5550 8325 9990 16650 19979 24975 39958 49950 59937 99895 119874 179811 199790 299685 359622 499475 539433 599370 739223 899055 998950 1078866 1478446 1498425 1798110 2217669 2697165 2996850 3696115 4435338 4495275 5394330 6653007 7392230 8990550 11088345 13306014 13485825 18480575 19959021 22176690 26971650 33265035 36961150 39918042 55441725 66530070 99795105 110883450 166325175 199590210 332650350 498975525 997951050