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1997959392 = 25331113103157
BaseRepresentation
bin111011100010110…
…0111000011100000
312011020111212001000
41313011213003200
513042434200032
6530131112000
7100340242332
oct16705470340
95136455030
101997959392
11935883510
12479142600
1325ac115c0
1414d4c7452
15ba60ce7c
hex771670e0

1997959392 has 384 divisors, whose sum is σ = 6956651520. Its totient is φ = 549918720.

The previous prime is 1997959373. The next prime is 1997959399. The reversal of 1997959392 is 2939597991.

1997959392 is a `hidden beast` number, since 199 + 7 + 9 + 59 + 392 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997959399) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12725778 + ... + 12725934.

It is an arithmetic number, because the mean of its divisors is an integer number (18116280).

Almost surely, 21997959392 is an apocalyptic number.

1997959392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997959392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478325760).

1997959392 is an abundant number, since it is smaller than the sum of its proper divisors (4958692128).

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

1997959392 is a wasteful number, since it uses less digits than its factorization.

1997959392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its digits is 12400290, while the sum is 63.

The square root of 1997959392 is about 44698.5390365278. The cubic root of 1997959392 is about 1259.4924032495.

The spelling of 1997959392 in words is "one billion, nine hundred ninety-seven million, nine hundred fifty-nine thousand, three hundred ninety-two".