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40121172 = 223271337331
BaseRepresentation
bin1001100100001…
…1001101010100
32210111100220100
42121003031110
540232334142
63551534100
7665011230
oct231031524
983440810
1040121172
11207136a3
121152a330
138409a50
1454855c0
1537c7b4c
hex2643354

40121172 has 144 divisors (see below), whose sum is σ = 128582272. Its totient is φ = 10264320.

The previous prime is 40121171. The next prime is 40121183. The reversal of 40121172 is 27112104.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40121171) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 121047 + ... + 121377.

Almost surely, 240121172 is an apocalyptic number.

40121172 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40121172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64291136).

40121172 is an abundant number, since it is smaller than the sum of its proper divisors (88461100).

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

40121172 is a wasteful number, since it uses less digits than its factorization.

40121172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 40121172 is about 6334.1275642349. The cubic root of 40121172 is about 342.3401765552.

Adding to 40121172 its reverse (27112104), we get a palindrome (67233276).

It can be divided in two parts, 4012 and 1172, that added together give a square (5184 = 722).

The spelling of 40121172 in words is "forty million, one hundred twenty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 37 39 42 52 63 74 78 84 91 111 117 126 148 156 182 222 234 252 259 273 331 333 364 444 468 481 518 546 662 666 777 819 962 993 1036 1092 1324 1332 1443 1554 1638 1924 1986 2317 2331 2886 2979 3108 3276 3367 3972 4303 4329 4634 4662 5772 5958 6734 6951 8606 8658 9268 9324 10101 11916 12247 12909 13468 13902 17212 17316 20202 20853 24494 25818 27804 30121 30303 36741 38727 40404 41706 48988 51636 60242 60606 73482 77454 83412 85729 90363 110223 120484 121212 146964 154908 159211 171458 180726 220446 257187 271089 318422 342916 361452 440892 477633 514374 542178 636844 771561 955266 1028748 1084356 1114477 1432899 1543122 1910532 2228954 2865798 3086244 3343431 4457908 5731596 6686862 10030293 13373724 20060586 40121172