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40009398 = 231113217211
BaseRepresentation
bin1001100010011…
…1111010110110
32210021200120120
42120213322312
540220300043
63545312410
7664034322
oct230477266
983250516
1040009398
1120647720
1211495706
13839ac00
145456982
1537a4983
hex2627eb6

40009398 has 96 divisors (see below), whose sum is σ = 100559232. Its totient is φ = 10483200.

The previous prime is 40009391. The next prime is 40009429. The reversal of 40009398 is 89390004.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40009391) 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, 189513 + ... + 189723.

It is an arithmetic number, because the mean of its divisors is an integer number (1047492).

Almost surely, 240009398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40009398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50279616).

40009398 is an abundant number, since it is smaller than the sum of its proper divisors (60549834).

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

40009398 is a wasteful number, since it uses less digits than its factorization.

40009398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 40009398 is about 6325.2982538375. The cubic root of 40009398 is about 342.0219711612.

The spelling of 40009398 in words is "forty million, nine thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 169 187 211 221 286 338 374 422 429 442 507 561 633 663 858 1014 1122 1266 1326 1859 2321 2431 2743 2873 3587 3718 4642 4862 5486 5577 5746 6963 7174 7293 8229 8619 10761 11154 13926 14586 16458 17238 21522 30173 31603 35659 39457 46631 60346 63206 71318 78914 90519 93262 94809 106977 118371 139893 181038 189618 213954 236742 279786 392249 512941 606203 784498 1025882 1176747 1212406 1538823 1818609 2353494 3077646 3637218 6668233 13336466 20004699 40009398