[go: up one dir, main page]

Search a number
-
+
40186048 = 267271331
BaseRepresentation
bin1001100101001…
…1000011000000
32210121122220011
42121103003000
540241423143
63553154304
7665401330
oct231230300
983548804
1040186048
1120758411
121155b994
138430436
1454a10c0
1537dbe9d
hex26530c0

40186048 has 56 divisors (see below), whose sum is σ = 91748864. Its totient is φ = 17107200.

The previous prime is 40186039. The next prime is 40186049. The reversal of 40186048 is 84068104.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×401860482 = 3229836907716608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40186049) 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, 121243 + ... + 121573.

Almost surely, 240186048 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 40186048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45874432).

40186048 is an abundant number, since it is smaller than the sum of its proper divisors (51562816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40186048 is a wasteful number, since it uses less digits than its factorization.

40186048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 40186048 is about 6339.2466429379. The cubic root of 40186048 is about 342.5245987270.

The spelling of 40186048 in words is "forty million, one hundred eighty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 271 331 448 542 662 1084 1324 1897 2168 2317 2648 3794 4336 4634 5296 7588 8672 9268 10592 15176 17344 18536 21184 30352 37072 60704 74144 89701 121408 148288 179402 358804 627907 717608 1255814 1435216 2511628 2870432 5023256 5740864 10046512 20093024 40186048