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40008150 = 23252713977
BaseRepresentation
bin1001100010011…
…1100111010110
32210021121212100
42120213213112
540220230100
63545302530
7664030560
oct230474726
983247770
1040008150
1120646796
1211494a46
13839a480
145456330
1537a4400
hex26279d6

40008150 has 144 divisors (see below), whose sum is σ = 132429024. Its totient is φ = 8432640.

The previous prime is 40008149. The next prime is 40008193. The reversal of 40008150 is 5180004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40462 + ... + 41438.

It is an arithmetic number, because the mean of its divisors is an integer number (919646).

Almost surely, 240008150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40008150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66214512).

40008150 is an abundant number, since it is smaller than the sum of its proper divisors (92420874).

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

40008150 is a wasteful number, since it uses less digits than its factorization.

40008150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 40008150 is about 6325.1996015936. The cubic root of 40008150 is about 342.0184149313.

Adding to 40008150 its reverse (5180004), we get a palindrome (45188154).

The spelling of 40008150 in words is "forty million, eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 42 45 50 63 65 70 75 78 90 91 105 117 126 130 150 175 182 195 210 225 234 273 315 325 350 390 450 455 525 546 585 630 650 819 910 975 977 1050 1170 1365 1575 1638 1950 1954 2275 2730 2925 2931 3150 4095 4550 4885 5850 5862 6825 6839 8190 8793 9770 12701 13650 13678 14655 17586 20475 20517 24425 25402 29310 34195 38103 40950 41034 43965 48850 61551 63505 68390 73275 76206 87930 88907 102585 114309 123102 127010 146550 170975 177814 190515 205170 219825 228618 266721 307755 317525 341950 381030 439650 444535 512925 533442 571545 615510 635050 800163 889070 952575 1025850 1143090 1333605 1538775 1600326 1905150 2222675 2667210 2857725 3077550 4000815 4445350 5715450 6668025 8001630 13336050 20004075 40008150