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40149324 = 2233894177
BaseRepresentation
bin1001100100101…
…0000101001100
32210112210112000
42121022011030
540234234244
63552312300
7665156265
oct231120514
983483460
1040149324
1120732866
1211542690
1384197c7
14549196c
1537d1169
hex264a14c

40149324 has 48 divisors (see below), whose sum is σ = 105285600. Its totient is φ = 13229568.

The previous prime is 40149287. The next prime is 40149331. The reversal of 40149324 is 42394104.

It is a super-2 number, since 2×401493242 = 3223936435313952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7524 + ... + 11700.

It is an arithmetic number, because the mean of its divisors is an integer number (2193450).

Almost surely, 240149324 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 40149324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52642800).

40149324 is an abundant number, since it is smaller than the sum of its proper divisors (65136276).

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

40149324 is a wasteful number, since it uses less digits than its factorization.

40149324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40149324 is about 6336.3494221831. The cubic root of 40149324 is about 342.4202282828.

The spelling of 40149324 in words is "forty million, one hundred forty-nine thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 801 1068 1602 2403 3204 4177 4806 8354 9612 12531 16708 25062 37593 50124 75186 112779 150372 225558 371753 451116 743506 1115259 1487012 2230518 3345777 4461036 6691554 10037331 13383108 20074662 40149324