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40012032 = 28353983
BaseRepresentation
bin1001100010100…
…0100100000000
32210021211012010
42120220210000
540220341112
63545332520
7664045104
oct230504400
983254163
1040012032
11206496a5
1211497140
13839c178
145457904
1537a563c
hex2628900

40012032 has 72 divisors (see below), whose sum is σ = 108609984. Its totient is φ = 13072384.

The previous prime is 40012003. The next prime is 40012051. The reversal of 40012032 is 23021004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 40011999 and 40012017.

It is an unprimeable number.

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, 40213 + ... + 41195.

It is an arithmetic number, because the mean of its divisors is an integer number (1508472).

Almost surely, 240012032 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 40012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54304992).

40012032 is an abundant number, since it is smaller than the sum of its proper divisors (68597952).

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

40012032 is an equidigital number, since it uses as much as digits as its factorization.

40012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 40012032 is about 6325.5064619365. The cubic root of 40012032 is about 342.0294766153.

Adding to 40012032 its reverse (23021004), we get a palindrome (63033036).

The spelling of 40012032 in words is "forty million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 983 1272 1696 1966 2544 2949 3392 3932 5088 5898 6784 7864 10176 11796 13568 15728 20352 23592 31456 40704 47184 52099 62912 94368 104198 125824 156297 188736 208396 251648 312594 377472 416792 625188 754944 833584 1250376 1667168 2500752 3334336 5001504 6668672 10003008 13337344 20006016 40012032