Search a number
-
+
40020512 = 257533371
BaseRepresentation
bin1001100010101…
…0101000100000
32210022020211012
42120222220200
540221124022
63545440052
7664111610
oct230525040
983266735
1040020512
1120655004
12114a0028
1383a2c9c
14545aa40
1537a7de2
hex262aa20

40020512 has 48 divisors (see below), whose sum is σ = 91772352. Its totient is φ = 16823040.

The previous prime is 40020503. The next prime is 40020521. The reversal of 40020512 is 21502004.

It is an interprime number because it is at equal distance from previous prime (40020503) and next prime (40020521).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10187 + ... + 13557.

It is an arithmetic number, because the mean of its divisors is an integer number (1911924).

Almost surely, 240020512 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 40020512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45886176).

40020512 is an abundant number, since it is smaller than the sum of its proper divisors (51751840).

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

40020512 is a wasteful number, since it uses less digits than its factorization.

40020512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 40020512 is about 6326.1767284830. The cubic root of 40020512 is about 342.0536377234.

Adding to 40020512 its reverse (21502004), we get a palindrome (61522516).

The spelling of 40020512 in words is "forty million, twenty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 3371 5936 6742 11872 13484 23597 26968 47194 53936 94388 107872 178663 188776 357326 377552 714652 755104 1250641 1429304 2501282 2858608 5002564 5717216 10005128 20010256 40020512