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979540047 = 3529971433
BaseRepresentation
bin111010011000101…
…001100001001111
32112021011210100000
4322120221201033
54001230240142
6241110535343
733162644613
oct7230514117
92467153300
10979540047
11462a19a32
12234067553
13127c255c5
1494143343
155aede14c
hex3a62984f

979540047 has 48 divisors (see below), whose sum is σ = 1534609440. Its totient is φ = 623572992.

The previous prime is 979540033. The next prime is 979540049. The reversal of 979540047 is 740045979.

979540047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 979540047 - 27 = 979539919 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 979539984 and 979540011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979540049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682843 + ... + 684275.

It is an arithmetic number, because the mean of its divisors is an integer number (31971030).

Almost surely, 2979540047 is an apocalyptic number.

979540047 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

979540047 is a deficient number, since it is larger than the sum of its proper divisors (555069393).

979540047 is a wasteful number, since it uses less digits than its factorization.

979540047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 979540047 is about 31297.6044929959. The cubic root of 979540047 is about 993.1329674718.

The spelling of 979540047 in words is "nine hundred seventy-nine million, five hundred forty thousand, forty-seven".

Divisors: 1 3 9 27 29 81 87 97 243 261 291 783 873 1433 2349 2619 2813 4299 7047 7857 8439 12897 23571 25317 38691 41557 75951 116073 124671 139001 227853 348219 374013 417003 683559 1122039 1251009 3366117 3753027 4031029 10098351 11259081 12093087 33777243 36279261 108837783 326513349 979540047