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40421472 = 2537213661
BaseRepresentation
bin1001101000110…
…0100001100000
32211001121211120
42122030201200
540321441342
64002212240
71000401600
oct232144140
984047746
1040421472
11208a9283
1211654080
1384b3640
145522c00
153836aec
hex268c860

40421472 has 144 divisors (see below), whose sum is σ = 133125552. Its totient is φ = 10644480.

The previous prime is 40421471. The next prime is 40421483. The reversal of 40421472 is 27412404.

It is a super-3 number, since 3×404214723 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40421471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60822 + ... + 61482.

It is an arithmetic number, because the mean of its divisors is an integer number (924483).

Almost surely, 240421472 is an apocalyptic number.

40421472 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 40421472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66562776).

40421472 is an abundant number, since it is smaller than the sum of its proper divisors (92704080).

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

40421472 is a wasteful number, since it uses less digits than its factorization.

40421472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 40421472 is about 6357.7882946824. The cubic root of 40421472 is about 343.1921733046.

Adding to 40421472 its reverse (27412404), we get a palindrome (67833876).

The spelling of 40421472 in words is "forty million, four hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 661 672 728 784 1092 1176 1248 1274 1322 1456 1568 1911 1983 2184 2352 2548 2644 2912 3822 3966 4368 4627 4704 5096 5288 7644 7932 8593 8736 9254 10192 10576 13881 15288 15864 17186 18508 20384 21152 25779 27762 30576 31728 32389 34372 37016 51558 55524 60151 61152 63456 64778 68744 74032 97167 103116 111048 120302 129556 137488 148064 180453 194334 206232 222096 240604 259112 274976 360906 388668 412464 421057 444192 481208 518224 721812 777336 824928 842114 962416 1036448 1263171 1443624 1554672 1684228 1924832 2526342 2887248 3109344 3368456 5052684 5774496 6736912 10105368 13473824 20210736 40421472