Base | Representation |
---|---|
bin | 1000101111000… |
… | …01100010100000 |
3 | 12002212210011100 |
4 | 10113201202200 |
5 | 122224304202 |
6 | 11134314400 |
7 | 1546555230 |
oct | 427414240 |
9 | 162783140 |
10 | 73275552 |
11 | 383a9009 |
12 | 20658a00 |
13 | 1224771c |
14 | 9a35cc0 |
15 | 667641c |
hex | 45e18a0 |
73275552 has 144 divisors (see below), whose sum is σ = 250810560. Its totient is φ = 19823616.
The previous prime is 73275551. The next prime is 73275557. The reversal of 73275552 is 25557237.
It is a happy number.
73275552 is a `hidden beast` number, since 7 + 32 + 75 + 552 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (73275551) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37348 + ... + 39260.
It is an arithmetic number, because the mean of its divisors is an integer number (1741740).
Almost surely, 273275552 is an apocalyptic number.
73275552 is a gapful number since it is divisible by the number (72) 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 73275552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125405280).
73275552 is an abundant number, since it is smaller than the sum of its proper divisors (177535008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73275552 is a wasteful number, since it uses less digits than its factorization.
73275552 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1955 (or 1944 counting only the distinct ones).
The product of its digits is 73500, while the sum is 36.
The square root of 73275552 is about 8560.1140179322. The cubic root of 73275552 is about 418.4591156645.
It can be divided in two parts, 73 and 275552, that added together give a square (275625 = 5252).
The spelling of 73275552 in words is "seventy-three million, two hundred seventy-five thousand, five hundred fifty-two".
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