[go: up one dir, main page]

Search a number
-
+
40155324 = 22311614987
BaseRepresentation
bin1001100100101…
…1100010111100
32210120002202020
42121023202330
540234432244
63552400140
7665212626
oct231134274
983502666
1040155324
1120737320
1211546050
13841c461
145493c16
1537d2d19
hex264b8bc

40155324 has 48 divisors (see below), whose sum is σ = 103910016. Its totient is φ = 11966400.

The previous prime is 40155301. The next prime is 40155331. The reversal of 40155324 is 42355104.

40155324 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 2×401553242 = 3224900091089952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40155294 and 40155303.

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, 5559 + ... + 10545.

It is an arithmetic number, because the mean of its divisors is an integer number (2164792).

Almost surely, 240155324 is an apocalyptic number.

40155324 is a gapful number since it is divisible by the number (44) 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 40155324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51955008).

40155324 is an abundant number, since it is smaller than the sum of its proper divisors (63754692).

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

40155324 is a wasteful number, since it uses less digits than its factorization.

40155324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 40155324 is about 6336.8228632336. The cubic root of 40155324 is about 342.4372847678.

It can be divided in two parts, 4015 and 5324, that added together give a palindrome (9339).

The spelling of 40155324 in words is "forty million, one hundred fifty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 4987 8052 9974 14961 19948 29922 54857 59844 109714 164571 219428 304207 329142 608414 658284 912621 1216828 1825242 3346277 3650484 6692554 10038831 13385108 20077662 40155324