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5930078049 = 32721921932
BaseRepresentation
bin1011000010111010…
…11100111101100001
3120022021111011210100
411201131130331201
544121044444144
62420234053013
7266644555200
oct54135347541
916267434710
105930078049
112573413455
121195b7a169
1373675692c
1440380b237
1524a925269
hex16175cf61

5930078049 has 81 divisors (see below), whose sum is σ = 10570945203. Its totient is φ = 3193634304.

The previous prime is 5930078047. The next prime is 5930078081. The reversal of 5930078049 is 9408700395.

The square root of 5930078049 is 77007.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1436789025 + 4493289024 = 37905^2 + 67032^2 .

It is not a de Polignac number, because 5930078049 - 21 = 5930078047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5930077995 and 5930078013.

It is not an unprimeable number, because it can be changed into a prime (5930078047) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30725697 + ... + 30725889.

Almost surely, 25930078049 is an apocalyptic number.

5930078049 is the 77007-th square number.

5930078049 is the 38504-th centered octagonal number.

It is an amenable number.

5930078049 is a deficient number, since it is larger than the sum of its proper divisors (4640867154).

5930078049 is a wasteful number, since it uses less digits than its factorization.

5930078049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 5930078049 is about 1810.0342930735.

The spelling of 5930078049 in words is "five billion, nine hundred thirty million, seventy-eight thousand, forty-nine".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 193 361 399 441 579 931 1083 1197 1351 1737 2527 2793 3249 3667 4053 7581 8379 9457 11001 12159 17689 22743 25669 28371 33003 37249 53067 69673 77007 85113 111747 159201 179683 209019 231021 260743 335241 487711 539049 627057 707731 782229 1463133 1617147 1825201 2123193 2346687 3413977 4389399 4954117 5475603 6369579 10241931 13446889 14862351 16426809 30725793 34678819 40340667 44587053 94128223 104036457 121022001 282384669 312109371 658897561 847154007 1976692683 5930078049