Search a number
-
+
40871952 = 2434114761
BaseRepresentation
bin1001101111101…
…0100000010000
32211220111210000
42123322200100
540430400302
64020010000
71004256132
oct233724020
984814700
1040871952
1121086780
1211830900
1386106b4
1455dd052
1538c531c
hex26fa810

40871952 has 200 divisors, whose sum is σ = 133955712. Its totient is φ = 11923200.

The previous prime is 40871947. The next prime is 40871953. The reversal of 40871952 is 25917804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40871953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 670002 + ... + 670062.

Almost surely, 240871952 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 40871952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977856).

40871952 is an abundant number, since it is smaller than the sum of its proper divisors (93083760).

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

40871952 is a wasteful number, since it uses less digits than its factorization.

40871952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 40871952 is about 6393.1175493651. The cubic root of 40871952 is about 344.4623762507.

The spelling of 40871952 in words is "forty million, eight hundred seventy-one thousand, nine hundred fifty-two".