Base | Representation |
---|---|
bin | 111010000110011… |
… | …101011101010000 |
3 | 2111221012112212110 |
4 | 322012131131100 |
5 | 3444020201143 |
6 | 240420425320 |
7 | 33104266005 |
oct | 7206353520 |
9 | 2457175773 |
10 | 974772048 |
11 | 460262738 |
12 | 232548240 |
13 | 126c462c3 |
14 | 936618ac |
15 | 5a89b533 |
hex | 3a19d750 |
974772048 has 160 divisors (see below), whose sum is σ = 2749824000. Its totient is φ = 296524800.
The previous prime is 974772047. The next prime is 974772059. The reversal of 974772048 is 840277479.
974772048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×9747720482 = 1900361091124228608, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 974771988 and 974772006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (974772047) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4898253 + ... + 4898451.
It is an arithmetic number, because the mean of its divisors is an integer number (17186400).
Almost surely, 2974772048 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 974772048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912000).
974772048 is an abundant number, since it is smaller than the sum of its proper divisors (1775051952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
974772048 is a wasteful number, since it uses less digits than its factorization.
974772048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 401 (or 395 counting only the distinct ones).
The product of its (nonzero) digits is 790272, while the sum is 48.
The square root of 974772048 is about 31221.3396253268. The cubic root of 974772048 is about 991.5189579338.
The spelling of 974772048 in words is "nine hundred seventy-four million, seven hundred seventy-two thousand, forty-eight".
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