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40993470 = 23257312099
BaseRepresentation
bin1001110001100…
…0001010111110
32212010200110200
42130120022332
540443242340
64022344330
71005303330
oct234301276
985120420
1040993470
112115a001
121188b0a6
138653abb
145631450
1538eb330
hex27182be

40993470 has 96 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 9063360.

The previous prime is 40993427. The next prime is 40993471. The reversal of 40993470 is 7439904.

40993470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40993471) 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, 18481 + ... + 20579.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 240993470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40993470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

40993470 is an abundant number, since it is smaller than the sum of its proper divisors (84804930).

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

40993470 is a wasteful number, since it uses less digits than its factorization.

40993470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 40993470 is about 6402.6143097956. The cubic root of 40993470 is about 344.8034166772.

It can be divided in two parts, 4099 and 3470, that added together give a square (7569 = 872).

The spelling of 40993470 in words is "forty million, nine hundred ninety-three thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2099 2170 2790 3255 3906 4198 6297 6510 9765 10495 12594 14693 18891 19530 20990 29386 31485 37782 44079 62970 65069 73465 88158 94455 130138 132237 146930 188910 195207 220395 264474 325345 390414 440790 455483 585621 650690 661185 910966 976035 1171242 1322370 1366449 1952070 2277415 2732898 2928105 4099347 4554830 5856210 6832245 8198694 13664490 20496735 40993470