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1997678592 = 21133713397
BaseRepresentation
bin111011100010010…
…0010100000000000
312011012222120212000
41313010202200000
513042401203332
6530121104000
7100334662560
oct16704424000
95135876760
101997678592
11935701548
12479028000
1325ab43850
1414d452da0
15ba5a4b7c
hex77122800

1997678592 has 384 divisors, whose sum is σ = 7301548800. Its totient is φ = 525533184.

The previous prime is 1997678561. The next prime is 1997678621. The reversal of 1997678592 is 2958767991.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031738 + ... + 5032134.

It is an arithmetic number, because the mean of its divisors is an integer number (19014450).

Almost surely, 21997678592 is an apocalyptic number.

1997678592 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 1997678592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650774400).

1997678592 is an abundant number, since it is smaller than the sum of its proper divisors (5303870208).

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

1997678592 is a wasteful number, since it uses less digits than its factorization.

1997678592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 422 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The square root of 1997678592 is about 44695.3978838985. The cubic root of 1997678592 is about 1259.4333960382.

The spelling of 1997678592 in words is "one billion, nine hundred ninety-seven million, six hundred seventy-eight thousand, five hundred ninety-two".