| Base | Representation |
|---|---|
| bin | 111101000010001… |
| … | …1111100000000000 |
| 3 | 12021201200002001000 |
| 4 | 1322010133200000 |
| 5 | 13143241413302 |
| 6 | 535115412000 |
| 7 | 101515460340 |
| oct | 17204374000 |
| 9 | 5251602030 |
| 10 | 2047997952 |
| 11 | 9610501a0 |
| 12 | 491a54000 |
| 13 | 2683b1410 |
| 14 | 155dd0d20 |
| 15 | bebe431c |
| hex | 7a11f800 |
2047997952 has 768 divisors, whose sum is σ = 8365593600. Its totient is φ = 477757440.
The previous prime is 2047997849. The next prime is 2047997971. The reversal of 2047997952 is 2597997402.
It is a tau number, because it is divible by the number of its divisors (768).
It is a super-2 number, since 2×20479979522 = 8388591222792388608, which contains 22 as substring.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55351278 + ... + 55351314.
It is an arithmetic number, because the mean of its divisors is an integer number (10892700).
Almost surely, 22047997952 is an apocalyptic number.
2047997952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2047997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182796800).
2047997952 is an abundant number, since it is smaller than the sum of its proper divisors (6317595648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2047997952 is a wasteful number, since it uses less digits than its factorization.
2047997952 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 99 (or 73 counting only the distinct ones).
The product of its (nonzero) digits is 2857680, while the sum is 54.
The square root of 2047997952 is about 45254.8113685164. The cubic root of 2047997952 is about 1269.9204182675.
It can be divided in two parts, 2047 and 997952, that added together give a palindrome (999999).
The spelling of 2047997952 in words is "two billion, forty-seven million, nine hundred ninety-seven thousand, nine hundred fifty-two".
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