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997851312 = 24351731487
BaseRepresentation
bin111011011110100…
…000000010110000
32120112122002200000
4323132200002300
54020422220222
6243003230000
733504411333
oct7336400260
92515562600
10997851312
11472296507
1223a218300
1312b967183
149674c61a
155c9099ac
hex3b7a00b0

997851312 has 240 divisors, whose sum is σ = 3171796992. Its totient is φ = 302330880.

The previous prime is 997851311. The next prime is 997851341. The reversal of 997851312 is 213158799.

Its product of digits (136080) is a multiple of the sum of its prime divisors (540).

It is not an unprimeable number, because it can be changed into a prime (997851311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2048733 + ... + 2049219.

Almost surely, 2997851312 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 997851312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585898496).

997851312 is an abundant number, since it is smaller than the sum of its proper divisors (2173945680).

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

997851312 is a wasteful number, since it uses less digits than its factorization.

997851312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 540 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 997851312 is about 31588.7845920035. The cubic root of 997851312 is about 999.2832570690.

The spelling of 997851312 in words is "nine hundred ninety-seven million, eight hundred fifty-one thousand, three hundred twelve".