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40725630 = 232511311327
BaseRepresentation
bin1001101101011…
…0110001111110
32211122002001200
42123112301332
540411210010
64012520330
71003106421
oct233266176
984562050
1040725630
1120a96850
12117800a6
13858bc0a
1455a19b8
153896cc0
hex26d6c7e

40725630 has 96 divisors (see below), whose sum is σ = 119328768. Its totient is φ = 9547200.

The previous prime is 40725583. The next prime is 40725631. The reversal of 40725630 is 3652704.

It is a happy number.

40725630 is a `hidden beast` number, since 4 + 0 + 7 + 25 + 630 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40725594 and 40725603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40725631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30027 + ... + 31353.

It is an arithmetic number, because the mean of its divisors is an integer number (1243008).

Almost surely, 240725630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40725630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59664384).

40725630 is an abundant number, since it is smaller than the sum of its proper divisors (78603138).

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

40725630 is a wasteful number, since it uses less digits than its factorization.

40725630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 40725630 is about 6381.6635762158. The cubic root of 40725630 is about 344.0508251476.

The spelling of 40725630 in words is "forty million, seven hundred twenty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 495 558 682 930 990 1023 1327 1395 1705 2046 2654 2790 3069 3410 3981 5115 6138 6635 7962 10230 11943 13270 14597 15345 19905 23886 29194 30690 39810 41137 43791 59715 72985 82274 87582 119430 123411 131373 145970 205685 218955 246822 262746 370233 411370 437910 452507 617055 656865 740466 905014 1234110 1313730 1357521 1851165 2262535 2715042 3702330 4072563 4525070 6787605 8145126 13575210 20362815 40725630