| Base | Representation |
|---|---|
| bin | 1001100110100… |
| … | …0011011100000 |
| 3 | 2210210010001000 |
| 4 | 2121220123200 |
| 5 | 40302224012 |
| 6 | 3555112000 |
| 7 | 666214560 |
| oct | 231503340 |
| 9 | 83703030 |
| 10 | 40273632 |
| 11 | 208081a3 |
| 12 | 115a2600 |
| 13 | 8461269 |
| 14 | 54c4da0 |
| 15 | 3807ddc |
| hex | 26686e0 |
40273632 has 96 divisors (see below), whose sum is σ = 134265600. Its totient is φ = 11505024.
The previous prime is 40273631. The next prime is 40273643. The reversal of 40273632 is 23637204.
40273632 is a `hidden beast` number, since 4 + 0 + 27 + 3 + 632 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 40273596 and 40273605.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40273631) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2719 + ... + 9377.
It is an arithmetic number, because the mean of its divisors is an integer number (1398600).
Almost surely, 240273632 is an apocalyptic number.
40273632 is a gapful number since it is divisible by the number (42) 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 40273632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67132800).
40273632 is an abundant number, since it is smaller than the sum of its proper divisors (93991968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40273632 is a wasteful number, since it uses less digits than its factorization.
40273632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6685 (or 6671 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 27.
The square root of 40273632 is about 6346.1509594399. The cubic root of 40273632 is about 342.7732580495.
The spelling of 40273632 in words is "forty million, two hundred seventy-three thousand, six hundred thirty-two".
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