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2047048812 = 2232179734483
BaseRepresentation
bin111101000000011…
…0111110001101100
312021122212212001200
41322000313301230
513143021030222
6535043205500
7101504425224
oct17200676154
95248785050
102047048812
11960562086
12491676890
1326813b3b3
14155c25084
15beaa7eac
hex7a037c6c

2047048812 has 72 divisors (see below), whose sum is σ = 5535509616. Its totient is φ = 635572224.

The previous prime is 2047048777. The next prime is 2047048819. The reversal of 2047048812 is 2188407402.

It is a super-2 number, since 2×20470488122 = 8380817677421222688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2047048819) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42123 + ... + 76605.

It is an arithmetic number, because the mean of its divisors is an integer number (76882078).

Almost surely, 22047048812 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 2047048812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767754808).

2047048812 is an abundant number, since it is smaller than the sum of its proper divisors (3488460804).

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

2047048812 is a wasteful number, since it uses less digits than its factorization.

2047048812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34607 (or 34602 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2047048812 is about 45244.3235334556. The cubic root of 2047048812 is about 1269.7242073752.

The spelling of 2047048812 in words is "two billion, forty-seven million, forty-eight thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 97 102 153 194 204 291 306 388 582 612 873 1164 1649 1746 3298 3492 4947 6596 9894 14841 19788 29682 34483 59364 68966 103449 137932 206898 310347 413796 586211 620694 1172422 1241388 1758633 2344844 3344851 3517266 5275899 6689702 7034532 10034553 10551798 13379404 20069106 21103596 30103659 40138212 56862467 60207318 113724934 120414636 170587401 227449868 341174802 511762203 682349604 1023524406 2047048812