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40634325 = 3352371627
BaseRepresentation
bin1001101100000…
…0011111010101
32211110102211000
42123000133111
540400244300
64010533513
71002246264
oct233003725
984412730
1040634325
1120a34196
1211737299
1385594a4
14557a5db
153879c00
hex26c07d5

40634325 has 48 divisors (see below), whose sum is σ = 76711360. Its totient is φ = 21072960.

The previous prime is 40634323. The next prime is 40634329. The reversal of 40634325 is 52343604.

40634325 is a `hidden beast` number, since 4 + 0 + 634 + 3 + 25 = 666.

40634325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40634325 - 21 = 40634323 is a prime.

It is a super-2 number, since 2×406343252 = 3302296736411250, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40634323) 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 47 ways as a sum of consecutive naturals, for example, 24162 + ... + 25788.

Almost surely, 240634325 is an apocalyptic number.

40634325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40634325 is a deficient number, since it is larger than the sum of its proper divisors (36077035).

40634325 is a wasteful number, since it uses less digits than its factorization.

40634325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 40634325 is about 6374.5058632023. The cubic root of 40634325 is about 343.7935173557.

Adding to 40634325 its reverse (52343604), we get a palindrome (92977929).

The spelling of 40634325 in words is "forty million, six hundred thirty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 37 45 75 111 135 185 225 333 555 675 925 999 1627 1665 2775 4881 4995 8135 8325 14643 24405 24975 40675 43929 60199 73215 122025 180597 219645 300995 366075 541791 902985 1098225 1504975 1625373 2708955 4514925 8126865 13544775 40634325