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40102452 = 2234139521
BaseRepresentation
bin1001100011111…
…0101000110100
32210110102020000
42120332220310
540231234302
63551311300
7664602525
oct230765064
983412200
1040102452
1120700625
121151b530
138401380
14547c84c
1537c231c
hex263ea34

40102452 has 60 divisors (see below), whose sum is σ = 112911876. Its totient is φ = 12337920.

The previous prime is 40102441. The next prime is 40102453. The reversal of 40102452 is 25420104.

40102452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11329956 + 28772496 = 3366^2 + 5364^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40102453) 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 19 ways as a sum of consecutive naturals, for example, 549 + ... + 8972.

Almost surely, 240102452 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 40102452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56455938).

40102452 is an abundant number, since it is smaller than the sum of its proper divisors (72809424).

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

40102452 is a wasteful number, since it uses less digits than its factorization.

40102452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9550 (or 9539 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40102452 is about 6332.6496823999. The cubic root of 40102452 is about 342.2869244960.

Adding to 40102452 its reverse (25420104), we get a palindrome (65522556).

The spelling of 40102452 in words is "forty million, one hundred two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 9521 19042 28563 38084 57126 85689 114252 123773 171378 247546 257067 342756 371319 495092 514134 742638 771201 1028268 1113957 1485276 1542402 2227914 3084804 3341871 4455828 6683742 10025613 13367484 20051226 40102452