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40746528 = 2532141481
BaseRepresentation
bin1001101101101…
…1111000100000
32211200010201200
42123123320200
540412342103
64013201200
71003224354
oct233337040
984603650
1040746528
1121000519
1211790200
138598594
1455a9464
15389d0a3
hex26dbe20

40746528 has 36 divisors (see below), whose sum is σ = 115873758. Its totient is φ = 13582080.

The previous prime is 40746527. The next prime is 40746529. The reversal of 40746528 is 82564704.

40746528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40746527) and next prime (40746529).

It can be written as a sum of positive squares in only one way, i.e., 31674384 + 9072144 = 5628^2 + 3012^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 40746492 and 40746501.

It is not an unprimeable number, because it can be changed into a prime (40746523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70453 + ... + 71028.

Almost surely, 240746528 is an apocalyptic number.

40746528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40746528 is an abundant number, since it is smaller than the sum of its proper divisors (75127230).

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

40746528 is a wasteful number, since it uses less digits than its factorization.

40746528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141497 (or 141486 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 40746528 is about 6383.3007135807. The cubic root of 40746528 is about 344.1096639728.

The spelling of 40746528 in words is "forty million, seven hundred forty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 141481 282962 424443 565924 848886 1131848 1273329 1697772 2263696 2546658 3395544 4527392 5093316 6791088 10186632 13582176 20373264 40746528