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40325220 = 223251319907
BaseRepresentation
bin1001100111010…
…1000001100100
32210212201210200
42121311001210
540310401340
64000150500
7666521145
oct231650144
983781720
1040325220
1120842a31
1211608430
13847b8a0
1454d9acc
153818330
hex2675064

40325220 has 144 divisors (see below), whose sum is σ = 138815040. Its totient is φ = 9393408.

The previous prime is 40325213. The next prime is 40325237. The reversal of 40325220 is 2252304.

It is a super-2 number, since 2×403252202 = 3252246736096800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40325193 and 40325202.

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 47 ways as a sum of consecutive naturals, for example, 44007 + ... + 44913.

Almost surely, 240325220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40325220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69407520).

40325220 is an abundant number, since it is smaller than the sum of its proper divisors (98489820).

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

40325220 is a wasteful number, since it uses less digits than its factorization.

40325220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 40325220 is about 6350.2141696166. The cubic root of 40325220 is about 342.9195526270.

Adding to 40325220 its reverse (2252304), we get a palindrome (42577524).

The spelling of 40325220 in words is "forty million, three hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 907 988 1140 1170 1235 1482 1710 1814 2223 2340 2470 2721 2964 3420 3628 3705 4446 4535 4940 5442 7410 8163 8892 9070 10884 11115 11791 13605 14820 16326 17233 18140 22230 23582 27210 32652 34466 35373 40815 44460 47164 51699 54420 58955 68932 70746 81630 86165 103398 106119 117910 141492 155097 163260 172330 176865 206796 212238 224029 235820 258495 310194 344660 353730 424476 448058 516990 530595 620388 672087 707460 775485 896116 1033980 1061190 1120145 1344174 1550970 2016261 2122380 2240290 2688348 3101940 3360435 4032522 4480580 6720870 8065044 10081305 13441740 20162610 40325220