Search a number
-
+
36485944 = 231117293
BaseRepresentation
bin1000101100101…
…1101100111000
32112122200022021
42023023230320
533320022234
63342004224
7622061005
oct213135470
975580267
1036485944
1119660480
1210276674
137736221
144bba8ac
15330a9b4
hex22cbb38

36485944 has 64 divisors (see below), whose sum is σ = 81842400. Its totient is φ = 15070720.

The previous prime is 36485929. The next prime is 36485963. The reversal of 36485944 is 44958463.

It is a happy number.

36485944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×364859442 = 2662448219142272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36485944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258122 + ... + 1258150.

Almost surely, 236485944 is an apocalyptic number.

36485944 is a gapful number since it is divisible by the number (34) 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 36485944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40921200).

36485944 is an abundant number, since it is smaller than the sum of its proper divisors (45356456).

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

36485944 is a wasteful number, since it uses less digits than its factorization.

36485944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 59 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 36485944 is about 6040.3595919448. The cubic root of 36485944 is about 331.6717857625.

The spelling of 36485944 in words is "thirty-six million, four hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 187 232 319 374 493 638 748 841 986 1276 1496 1682 1972 2552 3364 3944 5423 6728 9251 10846 14297 18502 21692 24389 28594 37004 43384 48778 57188 74008 97556 114376 157267 195112 268279 314534 414613 536558 629068 829226 1073116 1258136 1658452 2146232 3316904 4560743 9121486 18242972 36485944