Search a number
-
+
40000032 = 2532138889
BaseRepresentation
bin1001100010010…
…1101000100000
32210021012201200
42120211220200
540220000112
63545201200
7663665112
oct230455040
983235650
1040000032
1120640686
1211490200
138396877
1454533b2
1537a1cdc
hex2625a20

40000032 has 36 divisors (see below), whose sum is σ = 113750910. Its totient is φ = 13333248.

The previous prime is 40000021. The next prime is 40000033. The reversal of 40000032 is 23000004.

It can be written as a sum of positive squares in only one way, i.e., 39992976 + 7056 = 6324^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 39999969 and 40000023.

It is not an unprimeable number, because it can be changed into a prime (40000033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69157 + ... + 69732.

Almost surely, 240000032 is an apocalyptic number.

It is an amenable number.

40000032 is an abundant number, since it is smaller than the sum of its proper divisors (73750878).

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

40000032 is a wasteful number, since it uses less digits than its factorization.

40000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138905 (or 138894 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 40000032 is about 6324.5578501584. The cubic root of 40000032 is about 341.9952805340.

Adding to 40000032 its reverse (23000004), we get a palindrome (63000036).

The spelling of 40000032 in words is "forty million, thirty-two", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 138889 277778 416667 555556 833334 1111112 1250001 1666668 2222224 2500002 3333336 4444448 5000004 6666672 10000008 13333344 20000016 40000032