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997972488 = 2334172732
BaseRepresentation
bin111011011110111…
…101101000001000
32120112212020220000
4323132331220020
54020440104423
6243010003000
733505424532
oct7336755010
92515766800
10997972488
11472369557
1223a276460
1312b9aa386
1496780852
155c930843
hex3b7bda08

997972488 has 180 divisors, whose sum is σ = 3010578615. Its totient is φ = 308800512.

The previous prime is 997972487. The next prime is 997972489. The reversal of 997972488 is 884279799.

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.

It is an interprime number because it is at equal distance from previous prime (997972487) and next prime (997972489).

It can be written as a sum of positive squares in 5 ways, for example, as 830477124 + 167495364 = 28818^2 + 12942^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22338.

It is not an unprimeable number, because it can be changed into a prime (997972487) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 13670820 + ... + 13670892.

Almost surely, 2997972488 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 997972488

997972488 is an abundant number, since it is smaller than the sum of its proper divisors (2012606127).

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

997972488 is a wasteful number, since it uses less digits than its factorization.

997972488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 95 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The square root of 997972488 is about 31590.7025562902. The cubic root of 997972488 is about 999.3237053954.

The spelling of 997972488 in words is "nine hundred ninety-seven million, nine hundred seventy-two thousand, four hundred eighty-eight".