[go: up one dir, main page]

Search a number
-
+
40149100 = 2252439337
BaseRepresentation
bin1001100100101…
…0000001101100
32210112210012201
42121022001230
540234232400
63552311244
7665155525
oct231120154
983483181
1040149100
1120732682
1211542524
138419684
14549184c
1537d106a
hex264a06c

40149100 has 36 divisors (see below), whose sum is σ = 89159224. Its totient is φ = 15684480.

The previous prime is 40149097. The next prime is 40149101. The reversal of 40149100 is 194104.

It is a super-2 number, since 2×401491002 = 3223900461620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40149101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369 + ... + 8968.

Almost surely, 240149100 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 40149100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579612).

40149100 is an abundant number, since it is smaller than the sum of its proper divisors (49010124).

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

40149100 is a wasteful number, since it uses less digits than its factorization.

40149100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9394 (or 9387 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 40149100 is about 6336.3317463656. The cubic root of 40149100 is about 342.4195914744.

The spelling of 40149100 in words is "forty million, one hundred forty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 9337 18674 37348 46685 93370 186740 233425 401491 466850 802982 933700 1605964 2007455 4014910 8029820 10037275 20074550 40149100