Search a number
-
+
1047615996 = 2237191634027
BaseRepresentation
bin111110011100010…
…101100111111100
32201000021101222110
4332130111213330
54121142202441
6251542014020
734650406020
oct7634254774
92630241873
101047615996
11498396449
12252a17310
1313906c42b
149d1c4380
1561e89b16
hex3e7159fc

1047615996 has 96 divisors (see below), whose sum is σ = 2959452160. Its totient is φ = 281755584.

The previous prime is 1047615971. The next prime is 1047616001. The reversal of 1047615996 is 6995167401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258135 + ... + 262161.

Almost surely, 21047615996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047615996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479726080).

1047615996 is an abundant number, since it is smaller than the sum of its proper divisors (1911836164).

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

1047615996 is a wasteful number, since it uses less digits than its factorization.

1047615996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 1047615996 is about 32366.8966074908. The cubic root of 1047615996 is about 1015.6265380344.

The spelling of 1047615996 in words is "one billion, forty-seven million, six hundred fifteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 163 228 266 326 399 489 532 652 798 978 1141 1596 1956 2282 3097 3423 4027 4564 6194 6846 8054 9291 12081 12388 13692 16108 18582 21679 24162 28189 37164 43358 48324 56378 65037 76513 84567 86716 112756 130074 153026 169134 229539 260148 306052 338268 459078 535591 656401 918156 1071182 1312802 1606773 1969203 2142364 2625604 3213546 3938406 4594807 6427092 7876812 9189614 12471619 13784421 18379228 24943238 27568842 37414857 49886476 55137684 74829714 87301333 149659428 174602666 261903999 349205332 523807998 1047615996