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997436448 = 253218612
BaseRepresentation
bin111011011100111…
…010110000100000
32120111212000120200
4323130322300200
54020320431243
6242550305200
733501032661
oct7334726040
92514760520
10997436448
11472032848
1223a058200
1312b8503a8
1496681368
155c876ad3
hex3b73ac20

997436448 has 54 divisors (see below), whose sum is σ = 2837984877. Its totient is φ = 332300160.

The previous prime is 997436443. The next prime is 997436459. The reversal of 997436448 is 844634799.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

997436448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 531394704 + 466041744 = 23052^2 + 21588^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22332.

It is a junction number, because it is equal to n+sod(n) for n = 997436394 and 997436403.

It is not an unprimeable number, because it can be changed into a prime (997436443) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 535038 + ... + 536898.

Almost surely, 2997436448 is an apocalyptic number.

It is an amenable number.

997436448 is an abundant number, since it is smaller than the sum of its proper divisors (1840548429).

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

997436448 is an equidigital number, since it uses as much as digits as its factorization.

997436448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 1866 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 997436448 is about 31582.2172749160. The cubic root of 997436448 is about 999.1447514251.

The spelling of 997436448 in words is "nine hundred ninety-seven million, four hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1861 3722 5583 7444 11166 14888 16749 22332 29776 33498 44664 59552 66996 89328 133992 178656 267984 535968 3463321 6926642 10389963 13853284 20779926 27706568 31169889 41559852 55413136 62339778 83119704 110826272 124679556 166239408 249359112 332478816 498718224 997436448