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40552092 = 223272931179
BaseRepresentation
bin1001101010110…
…0011010011100
32211022021000100
42122230122130
540340131332
64005101100
71001454450
oct232543234
984267010
1040552092
1120988429
12116b7790
13852ac29
145558660
15386067c
hex26ac69c

40552092 has 144 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 10765440.

The previous prime is 40552091. The next prime is 40552093. The reversal of 40552092 is 29025504.

40552092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40552091) and next prime (40552093).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40552091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226459 + ... + 226637.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 240552092 is an apocalyptic number.

40552092 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 40552092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

40552092 is an abundant number, since it is smaller than the sum of its proper divisors (85246308).

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

40552092 is a wasteful number, since it uses less digits than its factorization.

40552092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 40552092 is about 6368.0524495327. The cubic root of 40552092 is about 343.5614453748.

Adding to 40552092 its reverse (29025504), we get a palindrome (69577596).

The spelling of 40552092 in words is "forty million, five hundred fifty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 31 36 42 58 62 63 84 87 93 116 124 126 174 179 186 203 217 252 261 279 348 358 372 406 434 522 537 558 609 651 716 812 868 899 1044 1074 1116 1218 1253 1302 1611 1798 1827 1953 2148 2436 2506 2604 2697 3222 3596 3654 3759 3906 5012 5191 5394 5549 6293 6444 7308 7518 7812 8091 10382 10788 11098 11277 12586 15036 15573 16182 16647 18879 20764 22196 22554 25172 31146 32364 33294 36337 37758 38843 45108 46719 49941 56637 62292 66588 72674 75516 77686 93438 99882 109011 113274 116529 145348 155372 160921 186876 199764 218022 226548 233058 321842 327033 349587 436044 466116 482763 643684 654066 699174 965526 1126447 1308132 1398348 1448289 1931052 2252894 2896578 3379341 4505788 5793156 6758682 10138023 13517364 20276046 40552092