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997738992 = 24335343577
BaseRepresentation
bin111011011110000…
…100100111110000
32120112102101121000
4323132010213300
54020410121432
6243001002000
733503433015
oct7336044760
92515371530
10997738992
1147221a088
1223a183300
1312b928003
149671d70c
155c8d657c
hex3b7849f0

997738992 has 80 divisors (see below), whose sum is σ = 2917982880. Its totient is φ = 326297088.

The previous prime is 997738991. The next prime is 997739033. The reversal of 997738992 is 299837799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997738991) 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, 1108 + ... + 44684.

It is an arithmetic number, because the mean of its divisors is an integer number (36474786).

Almost surely, 2997738992 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 997738992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458991440).

997738992 is an abundant number, since it is smaller than the sum of its proper divisors (1920243888).

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

997738992 is a wasteful number, since it uses less digits than its factorization.

997738992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43647 (or 43635 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 63.

The square root of 997738992 is about 31587.0066957919. The cubic root of 997738992 is about 999.2457619346.

The spelling of 997738992 in words is "nine hundred ninety-seven million, seven hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5724 7632 11448 22896 43577 87154 130731 174308 261462 348616 392193 522924 697232 784386 1045848 1176579 1568772 2091696 2309581 2353158 3137544 4619162 4706316 6275088 6928743 9238324 9412632 13857486 18476648 18825264 20786229 27714972 36953296 41572458 55429944 62358687 83144916 110859888 124717374 166289832 249434748 332579664 498869496 997738992