Search a number
-
+
40093002 = 23319231699
BaseRepresentation
bin1001100011110…
…0010101001010
32210102221021000
42120330111022
540230434002
63551155430
7664533135
oct230742512
983387230
1040093002
11206a4514
1211515b76
1383c9c91
14547921c
1537be61c
hex263c54a

40093002 has 64 divisors (see below), whose sum is σ = 97920000. Its totient is φ = 12103344.

The previous prime is 40092989. The next prime is 40093003. The reversal of 40093002 is 20039004.

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

It is not an unprimeable number, because it can be changed into a prime (40093003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22749 + ... + 24447.

It is an arithmetic number, because the mean of its divisors is an integer number (1530000).

Almost surely, 240093002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40093002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48960000).

40093002 is an abundant number, since it is smaller than the sum of its proper divisors (57826998).

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

40093002 is a wasteful number, since it uses less digits than its factorization.

40093002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 40093002 is about 6331.9035052660. The cubic root of 40093002 is about 342.2600361522.

The spelling of 40093002 in words is "forty million, ninety-three thousand, two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 114 138 171 207 342 414 437 513 621 874 1026 1242 1311 1699 2622 3398 3933 5097 7866 10194 11799 15291 23598 30582 32281 39077 45873 64562 78154 91746 96843 117231 193686 234462 290529 351693 581058 703386 742463 871587 1055079 1484926 1743174 2110158 2227389 4454778 6682167 13364334 20046501 40093002