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40385592 = 23321323319
BaseRepresentation
bin1001101000001…
…1110000111000
32210222210121200
42122003300320
540314314332
64001334200
71000162152
oct232036070
983883550
1040385592
1120884325
1211637360
1384a0200
145513ad2
15382b17c
hex2683c38

40385592 has 72 divisors (see below), whose sum is σ = 118474200. Its totient is φ = 12422592.

The previous prime is 40385551. The next prime is 40385593. The reversal of 40385592 is 29558304.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40385593) 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 17 ways as a sum of consecutive naturals, for example, 10509 + ... + 13827.

It is an arithmetic number, because the mean of its divisors is an integer number (1645475).

Almost surely, 240385592 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 40385592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59237100).

40385592 is an abundant number, since it is smaller than the sum of its proper divisors (78088608).

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

40385592 is a wasteful number, since it uses less digits than its factorization.

40385592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 40385592 is about 6354.9659322454. The cubic root of 40385592 is about 343.0905987389.

The spelling of 40385592 in words is "forty million, three hundred eighty-five thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 3319 4056 6084 6638 9957 12168 13276 19914 26552 29871 39828 43147 59742 79656 86294 119484 129441 172588 238968 258882 345176 388323 517764 560911 776646 1035528 1121822 1553292 1682733 2243644 3106584 3365466 4487288 5048199 6730932 10096398 13461864 20192796 40385592