Search a number
-
+
40100748 = 2233722441
BaseRepresentation
bin1001100011111…
…0001110001100
32210110022212220
42120332032030
540231210443
63551255340
7664564542
oct230761614
983408786
1040100748
11206aa316
121151a550
13840066c
14547bd92
1537c1a83
hex263e38c

40100748 has 36 divisors (see below), whose sum is σ = 96205032. Its totient is φ = 13000320.

The previous prime is 40100743. The next prime is 40100777. The reversal of 40100748 is 84700104.

40100748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40100743) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15208 + ... + 17648.

It is an arithmetic number, because the mean of its divisors is an integer number (2672362).

Almost surely, 240100748 is an apocalyptic number.

It is an amenable number.

40100748 is an abundant number, since it is smaller than the sum of its proper divisors (56104284).

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

40100748 is a wasteful number, since it uses less digits than its factorization.

40100748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 40100748 is about 6332.5151401319. The cubic root of 40100748 is about 342.2820763703.

The spelling of 40100748 in words is "forty million, one hundred thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 1369 2441 2738 4107 4882 5476 7323 8214 9764 14646 16428 29292 90317 180634 270951 361268 541902 1083804 3341729 6683458 10025187 13366916 20050374 40100748