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997518522 = 2371113307541
BaseRepresentation
bin111011011101001…
…110110010111010
32120112000012011110
4323131032302322
54020331043042
6242552141150
733501524160
oct7335166272
92515005143
10997518522
11472089480
1223a0977b6
1312b87b860
14966a3230
155c89109c
hex3b74ecba

997518522 has 128 divisors (see below), whose sum is σ = 2692343808. Its totient is φ = 237945600.

The previous prime is 997518493. The next prime is 997518523. The reversal of 997518522 is 225815799.

It is not an unprimeable number, because it can be changed into a prime (997518523) 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 63 ways as a sum of consecutive naturals, for example, 1843572 + ... + 1844112.

It is an arithmetic number, because the mean of its divisors is an integer number (21033936).

Almost surely, 2997518522 is an apocalyptic number.

997518522 is the 25788-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997518522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346171904).

997518522 is an abundant number, since it is smaller than the sum of its proper divisors (1694825286).

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

997518522 is a wasteful number, since it uses less digits than its factorization.

997518522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884.

The product of its digits is 453600, while the sum is 48.

The square root of 997518522 is about 31583.5166186414. The cubic root of 997518522 is about 999.1721555293.

The spelling of 997518522 in words is "nine hundred ninety-seven million, five hundred eighteen thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 307 429 462 541 546 614 858 921 1001 1082 1623 1842 2002 2149 3003 3246 3377 3787 3991 4298 5951 6006 6447 6754 7033 7574 7982 10131 11361 11902 11973 12894 14066 17853 20262 21099 22722 23639 23946 27937 35706 41657 42198 43901 47278 49231 55874 70917 77363 83314 83811 87802 98462 124971 131703 141834 147693 154726 166087 167622 232089 249942 263406 295386 307307 332174 464178 498261 541541 614614 921921 996522 1083082 1162609 1624623 1826957 1843842 2159131 2325218 3249246 3487827 3653914 4318262 5480871 6477393 6975654 10961742 12788699 12954786 15113917 23750441 25577398 30227834 38366097 45341751 47500882 71251323 76732194 90683502 142502646 166253087 332506174 498759261 997518522