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1078777056 = 25371605323
BaseRepresentation
bin100000001001100…
…1101010011100000
32210011220112220210
41000103031103200
54202131331211
6255013534120
735506311420
oct10023152340
92704815823
101078777056
11503a3a195
12261344340
1314265ca26
14a33b6480
1564a929a6
hex404cd4e0

1078777056 has 48 divisors (see below), whose sum is σ = 3236333184. Its totient is φ = 308221824.

The previous prime is 1078777043. The next prime is 1078777057. The reversal of 1078777056 is 6507778701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1078776996 and 1078777014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078777057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 801990 + ... + 803333.

It is an arithmetic number, because the mean of its divisors is an integer number (67423608).

Almost surely, 21078777056 is an apocalyptic number.

1078777056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1078777056 is an abundant number, since it is smaller than the sum of its proper divisors (2157556128).

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

1078777056 is a wasteful number, since it uses less digits than its factorization.

1078777056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605343 (or 1605335 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 48.

The square root of 1078777056 is about 32844.7416796053. The cubic root of 1078777056 is about 1025.5981615893.

The spelling of 1078777056 in words is "one billion, seventy-eight million, seven hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1605323 3210646 4815969 6421292 9631938 11237261 12842584 19263876 22474522 25685168 33711783 38527752 44949044 51370336 67423566 77055504 89898088 134847132 154111008 179796176 269694264 359592352 539388528 1078777056