Base | Representation |
---|---|
bin | 101110010111011001… |
… | …110011110010111001 |
3 | 11202111120211010120100 |
4 | 232113121303302321 |
5 | 1303424400000000 |
6 | 34512032150013 |
7 | 3411466345200 |
oct | 562731636271 |
9 | 152446733510 |
10 | 49784765625 |
11 | 1a128225301 |
12 | 9794998309 |
13 | 49052b04ca |
14 | 25a3d04237 |
15 | 1465a2ba00 |
hex | b97673cb9 |
49784765625 has 243 divisors, whose sum is σ = 111077579847. Its totient is φ = 21420000000.
The previous prime is 49784765603. The next prime is 49784765627. The reversal of 49784765625 is 52656748794.
The square root of 49784765625 is 223125.
It is a perfect power (a square), and thus also a powerful number.
49784765625 is a `hidden beast` number, since 4 + 97 + 8 + 476 + 56 + 25 = 666.
It can be written as a sum of positive squares in 13 ways, for example, as 12002736249 + 37782029376 = 109557^2 + 194376^2 .
It is not a de Polignac number, because 49784765625 - 221 = 49782668473 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (63).
Its product of digits (101606400) is a multiple of the sum of its prime divisors (32).
It is not an unprimeable number, because it can be changed into a prime (49784765627) by changing a digit.
It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2928515617 + ... + 2928515633.
Almost surely, 249784765625 is an apocalyptic number.
49784765625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
49784765625 is the 223125-th square number.
49784765625 is the 111563-rd centered octagonal number.
It is an amenable number.
49784765625 is an abundant number, since it is smaller than the sum of its proper divisors (61292814222).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49784765625 is an frugal number, since it uses more digits than its factorization.
49784765625 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 94 (or 32 counting only the distinct ones).
The product of its digits is 101606400, while the sum is 63.
It can be divided in two parts, 49784 and 765625, that added together give a square (815409 = 9032).
The spelling of 49784765625 in words is "forty-nine billion, seven hundred eighty-four million, seven hundred sixty-five thousand, six hundred twenty-five".
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