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40224492 = 22337211691
BaseRepresentation
bin1001100101110…
…0011011101100
32210200121122000
42121130123230
540244140432
63554052300
7665621400
oct231343354
983617560
1040224492
1120784290
121157a090
138444a99
1454b1100
1537e857c
hex265c6ec

40224492 has 144 divisors (see below), whose sum is σ = 132531840. Its totient is φ = 10432800.

The previous prime is 40224491. The next prime is 40224511. The reversal of 40224492 is 29442204.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40224491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57867 + ... + 58557.

It is an arithmetic number, because the mean of its divisors is an integer number (920360).

Almost surely, 240224492 is an apocalyptic number.

40224492 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 40224492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66265920).

40224492 is an abundant number, since it is smaller than the sum of its proper divisors (92307348).

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

40224492 is a wasteful number, since it uses less digits than its factorization.

40224492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40224492 is about 6342.2781395962. The cubic root of 40224492 is about 342.6337893499.

Adding to 40224492 its reverse (29442204), we get a palindrome (69666696).

The spelling of 40224492 in words is "forty million, two hundred twenty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 378 396 441 462 539 588 594 691 693 756 882 924 1078 1188 1323 1382 1386 1617 1764 2073 2079 2156 2646 2764 2772 3234 4146 4158 4837 4851 5292 6219 6468 7601 8292 8316 9674 9702 12438 14511 14553 15202 18657 19348 19404 22803 24876 29022 29106 30404 33859 37314 43533 45606 53207 58044 58212 67718 68409 74628 87066 91212 101577 106414 130599 135436 136818 159621 174132 203154 205227 212828 261198 273636 304731 319242 372449 406308 410454 478863 522396 609462 638484 744898 820908 914193 957726 1117347 1218924 1436589 1489796 1828386 1915452 2234694 2873178 3352041 3656772 4469388 5746356 6704082 10056123 13408164 20112246 40224492