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40112512 = 271131919
BaseRepresentation
bin1001100100000…
…1000110000000
32210110221000121
42121001012000
540232100022
63551430024
7664644046
oct231010600
983427017
1040112512
1120708140
1211525314
138405b1b
145482396
1537c52c7
hex2641180

40112512 has 64 divisors (see below), whose sum is σ = 90086400. Its totient is φ = 17625600.

The previous prime is 40112509. The next prime is 40112519. The reversal of 40112512 is 21521104.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40112519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43189 + ... + 44107.

It is an arithmetic number, because the mean of its divisors is an integer number (1407600).

Almost surely, 240112512 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 40112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45043200).

40112512 is an abundant number, since it is smaller than the sum of its proper divisors (49973888).

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

40112512 is a wasteful number, since it uses less digits than its factorization.

40112512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 40112512 is about 6333.4439288589. The cubic root of 40112512 is about 342.3155438480.

Adding to 40112512 its reverse (21521104), we get a palindrome (61633616).

The spelling of 40112512 in words is "forty million, one hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 682 704 919 992 1364 1408 1838 1984 2728 3676 3968 5456 7352 10109 10912 14704 20218 21824 28489 29408 40436 43648 56978 58816 80872 113956 117632 161744 227912 313379 323488 455824 626758 646976 911648 1253516 1293952 1823296 2507032 3646592 5014064 10028128 20056256 40112512