Search a number
-
+
40575006 = 23447732
BaseRepresentation
bin1001101011001…
…0000000011110
32211100102110000
42122302000132
540341400011
64005355130
71001611323
oct232620036
984312400
1040575006
11209a366a
1211708aa6
1385384a4
145562b4a
153867356
hex26b201e

40575006 has 60 divisors (see below), whose sum is σ = 94141872. Its totient is φ = 13055904.

The previous prime is 40574993. The next prime is 40575019. The reversal of 40575006 is 60057504.

It is an interprime number because it is at equal distance from previous prime (40574993) and next prime (40575019).

It is a super-2 number, since 2×405750062 = 3292662223800072, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 555786 + ... + 555858.

Almost surely, 240575006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40575006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47070936).

40575006 is an abundant number, since it is smaller than the sum of its proper divisors (53566866).

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

40575006 is an equidigital number, since it uses as much as digits as its factorization.

40575006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 40575006 is about 6369.8513326451. The cubic root of 40575006 is about 343.6261431029.

The spelling of 40575006 in words is "forty million, five hundred seventy-five thousand, six".

Divisors: 1 2 3 6 9 18 27 47 54 73 81 94 141 146 162 219 282 423 438 657 846 1269 1314 1971 2538 3431 3807 3942 5329 5913 6862 7614 10293 10658 11826 15987 20586 30879 31974 47961 61758 92637 95922 143883 185274 250463 277911 287766 431649 500926 555822 751389 863298 1502778 2254167 4508334 6762501 13525002 20287503 40575006