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40528512 = 27351303
BaseRepresentation
bin1001101010011…
…0101010000000
32211021001200000
42122212222000
540333403022
64004400000
71001325633
oct232465200
984231600
1040528512
1120971742
12116a6000
13852028b
14554dc1a
1538586ac
hex26a6a80

40528512 has 96 divisors (see below), whose sum is σ = 121037280. Its totient is φ = 13499136.

The previous prime is 40528511. The next prime is 40528531. The reversal of 40528512 is 21582504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40528511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30453 + ... + 31755.

It is an arithmetic number, because the mean of its divisors is an integer number (1260805).

Almost surely, 240528512 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 40528512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60518640).

40528512 is an abundant number, since it is smaller than the sum of its proper divisors (80508768).

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

40528512 is an equidigital number, since it uses as much as digits as its factorization.

40528512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 40528512 is about 6366.2007508403. The cubic root of 40528512 is about 343.4948417448.

The spelling of 40528512 in words is "forty million, five hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1303 1728 1944 2592 2606 3456 3888 3909 5184 5212 7776 7818 10368 10424 11727 15552 15636 20848 23454 31104 31272 35181 41696 46908 62544 70362 83392 93816 105543 125088 140724 166784 187632 211086 250176 281448 316629 375264 422172 500352 562896 633258 750528 844344 1125792 1266516 1501056 1688688 2251584 2533032 3377376 4503168 5066064 6754752 10132128 13509504 20264256 40528512