Base | Representation |
---|---|
bin | 111100101111001… |
… | …1100001110100000 |
3 | 12021000220022002000 |
4 | 1321132130032200 |
5 | 13133213214242 |
6 | 534121524000 |
7 | 101334624141 |
oct | 17136341640 |
9 | 5230808060 |
10 | 2038023072 |
11 | 956457998 |
12 | 48a643600 |
13 | 2662cb117 |
14 | 154955ac8 |
15 | bddc3a4c |
hex | 7979c3a0 |
2038023072 has 48 divisors (see below), whose sum is σ = 5944236480. Its totient is φ = 679340736.
The previous prime is 2038023023. The next prime is 2038023073. The reversal of 2038023072 is 2703208302.
2038023072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (2038023073) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1178548 + ... + 1180275.
It is an arithmetic number, because the mean of its divisors is an integer number (123838260).
Almost surely, 22038023072 is an apocalyptic number.
It is an amenable number.
2038023072 is an abundant number, since it is smaller than the sum of its proper divisors (3906213408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2038023072 is a wasteful number, since it uses less digits than its factorization.
2038023072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2358842 (or 2358828 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The square root of 2038023072 is about 45144.4688970864. The cubic root of 2038023072 is about 1267.8553242107.
The spelling of 2038023072 in words is "two billion, thirty-eight million, twenty-three thousand, seventy-two".
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