Base | Representation |
---|---|
bin | 111010110010001… |
… | …0110011101110000 |
3 | 12002110112112012200 |
4 | 1311210112131300 |
5 | 13014422312342 |
6 | 523420423200 |
7 | 66610443240 |
oct | 16544263560 |
9 | 5073475180 |
10 | 1972463472 |
11 | 92244a001 |
12 | 4706a7b00 |
13 | 255855765 |
14 | 149d6bb20 |
15 | b827394c |
hex | 75916770 |
1972463472 has 120 divisors (see below), whose sum is σ = 6351022080. Its totient is φ = 559785600.
The previous prime is 1972463461. The next prime is 1972463491. The reversal of 1972463472 is 2743642791.
1972463472 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 4 + 634 + 7 + 2 = 666.
It is a super-2 number, since 2×19724634722 = 7781224296748589568, which contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145729 + ... + 158687.
It is an arithmetic number, because the mean of its divisors is an integer number (52925184).
Almost surely, 21972463472 is an apocalyptic number.
1972463472 is a gapful number since it is divisible by the number (12) 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 1972463472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175511040).
1972463472 is an abundant number, since it is smaller than the sum of its proper divisors (4378558608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1972463472 is a wasteful number, since it uses less digits than its factorization.
1972463472 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13131 (or 13122 counting only the distinct ones).
The product of its digits is 508032, while the sum is 45.
The square root of 1972463472 is about 44412.4247480364. The cubic root of 1972463472 is about 1254.1119990319. Note that the first 3 decimals are identical.
The spelling of 1972463472 in words is "one billion, nine hundred seventy-two million, four hundred sixty-three thousand, four hundred seventy-two".
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