| Base | Representation |
|---|---|
| bin | 1001010101011010… |
| … | …1011001111100000 |
| 3 | 20110122000021002000 |
| 4 | 2111112223033200 |
| 5 | 20112432440342 |
| 6 | 1052350524000 |
| 7 | 116044343022 |
| oct | 22526531740 |
| 9 | 6418007060 |
| 10 | 2505749472 |
| 11 | 1076480736 |
| 12 | 59b206600 |
| 13 | 30c1933c5 |
| 14 | 19ab0a012 |
| 15 | e9eb444c |
| hex | 955ab3e0 |
2505749472 has 96 divisors (see below), whose sum is σ = 7317021600. Its totient is φ = 834269184.
The previous prime is 2505749453. The next prime is 2505749489. The reversal of 2505749472 is 2749475052.
2505749472 is a `hidden beast` number, since 2 + 5 + 0 + 574 + 9 + 4 + 72 = 666.
2505749472 is digitally balanced in base 2, 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 (96).
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 congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465354 + ... + 1467062.
It is an arithmetic number, because the mean of its divisors is an integer number (76218975).
Almost surely, 22505749472 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 2505749472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658510800).
2505749472 is an abundant number, since it is smaller than the sum of its proper divisors (4811272128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2505749472 is a wasteful number, since it uses less digits than its factorization.
2505749472 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3425 (or 3411 counting only the distinct ones).
The product of its (nonzero) digits is 705600, while the sum is 45.
The square root of 2505749472 is about 50057.4617015286. The cubic root of 2505749472 is about 1358.2484429298.
It can be divided in two parts, 25057 and 49472, that added together give a square (74529 = 2732).
The spelling of 2505749472 in words is "two billion, five hundred five million, seven hundred forty-nine thousand, four hundred seventy-two".
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