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40890528 = 253376761
BaseRepresentation
bin1001101111111…
…1000010100000
32211221110021000
42123333002200
540431444103
64020232000
71004364240
oct233770240
984843230
1040890528
1121099728
121183b600
138618ca3
145605b20
1538caaa3
hex26ff0a0

40890528 has 96 divisors (see below), whose sum is σ = 136321920. Its totient is φ = 11681280.

The previous prime is 40890511. The next prime is 40890529. The reversal of 40890528 is 82509804.

40890528 is a `hidden beast` number, since 40 + 8 + 90 + 528 = 666.

40890528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 40890492 and 40890501.

It is not an unprimeable number, because it can be changed into a prime (40890529) 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 15 ways as a sum of consecutive naturals, for example, 2668 + ... + 9428.

It is an arithmetic number, because the mean of its divisors is an integer number (1420020).

Almost surely, 240890528 is an apocalyptic number.

40890528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40890528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68160960).

40890528 is an abundant number, since it is smaller than the sum of its proper divisors (95431392).

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

40890528 is a wasteful number, since it uses less digits than its factorization.

40890528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6787 (or 6773 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 40890528 is about 6394.5701966590. The cubic root of 40890528 is about 344.5145535479.

The spelling of 40890528 in words is "forty million, eight hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 6761 13522 20283 27044 40566 47327 54088 60849 81132 94654 108176 121698 141981 162264 182547 189308 216352 243396 283962 324528 365094 378616 425943 486792 567924 649056 730188 757232 851886 973584 1135848 1277829 1460376 1514464 1703772 1947168 2271696 2555658 2920752 3407544 4543392 5111316 5841504 6815088 10222632 13630176 20445264 40890528