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1077496992 = 253611131719
BaseRepresentation
bin100000000111001…
…0100110010100000
32210002111112000000
41000032110302200
54201314400432
6254530300000
735462400435
oct10016246240
92702445000
101077496992
11503245490
12260a27600
131423021b0
14a3161b8c
15648dd57c
hex40394ca0

1077496992 has 672 divisors, whose sum is σ = 4164592320. Its totient is φ = 268738560.

The previous prime is 1077496991. The next prime is 1077497021. The reversal of 1077496992 is 2996947701.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1077496991) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 56710359 + ... + 56710377.

It is an arithmetic number, because the mean of its divisors is an integer number (6197310).

Almost surely, 21077496992 is an apocalyptic number.

1077496992 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 1077496992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082296160).

1077496992 is an abundant number, since it is smaller than the sum of its proper divisors (3087095328).

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

1077496992 is a wasteful number, since it uses less digits than its factorization.

1077496992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 1077496992 is about 32825.2493059840. The cubic root of 1077496992 is about 1025.1923468495.

The spelling of 1077496992 in words is "one billion, seventy-seven million, four hundred ninety-six thousand, nine hundred ninety-two".