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49966224 = 24371121229
BaseRepresentation
bin1011111010011…
…0110010010000
310111000112202220
42332212302100
5100242404344
64542541040
71144464060
oct276466220
9114015686
1049966224
1126228400
1214897780
13a475c19
1468c93a0
1545bec19
hex2fa6c90

49966224 has 120 divisors (see below), whose sum is σ = 162281280. Its totient is φ = 12967680.

The previous prime is 49966211. The next prime is 49966253. The reversal of 49966224 is 42266994.

49966224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 40042 + ... + 41270.

It is an arithmetic number, because the mean of its divisors is an integer number (1352344).

Almost surely, 249966224 is an apocalyptic number.

49966224 is a gapful number since it is divisible by the number (44) 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 49966224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81140640).

49966224 is an abundant number, since it is smaller than the sum of its proper divisors (112315056).

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

49966224 is a wasteful number, since it uses less digits than its factorization.

49966224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1252 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 49966224 is about 7068.6790845249. The cubic root of 49966224 is about 368.3201766126.

The spelling of 49966224 in words is "forty-nine million, nine hundred sixty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1229 1232 1452 1694 1848 1936 2458 2541 2904 3388 3687 3696 4916 5082 5808 6776 7374 8603 9832 10164 13519 13552 14748 17206 19664 20328 25809 27038 29496 34412 40557 40656 51618 54076 58992 68824 81114 94633 103236 108152 137648 148709 162228 189266 206472 216304 283899 297418 324456 378532 412944 446127 567798 594836 648912 757064 892254 1040963 1135596 1189672 1514128 1784508 2081926 2271192 2379344 3122889 3569016 4163852 4542384 6245778 7138032 8327704 12491556 16655408 24983112 49966224