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49891464 = 2334717647
BaseRepresentation
bin1011111001010…
…0100010001000
310110212202020000
42332110202020
5100233011324
64541203000
71144033110
oct276244210
9113782200
1049891464
1126187217
1214860460
13a44ab9c
1468aa040
1545a79c9
hex2f94888

49891464 has 160 divisors (see below), whose sum is σ = 169361280. Its totient is φ = 13395456.

The previous prime is 49891453. The next prime is 49891519. The reversal of 49891464 is 46419894.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 76789 + ... + 77435.

It is an arithmetic number, because the mean of its divisors is an integer number (1058508).

Almost surely, 249891464 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 49891464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84680640).

49891464 is an abundant number, since it is smaller than the sum of its proper divisors (119469816).

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

49891464 is a wasteful number, since it uses less digits than its factorization.

49891464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 676 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 49891464 is about 7063.3889882973. The cubic root of 49891464 is about 368.1363900554.

The spelling of 49891464 in words is "forty-nine million, eight hundred ninety-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 81 84 102 108 119 126 136 153 162 168 189 204 216 238 252 306 324 357 378 408 459 476 504 567 612 647 648 714 756 918 952 1071 1134 1224 1294 1377 1428 1512 1836 1941 2142 2268 2588 2754 2856 3213 3672 3882 4284 4529 4536 5176 5508 5823 6426 7764 8568 9058 9639 10999 11016 11646 12852 13587 15528 17469 18116 19278 21998 23292 25704 27174 32997 34938 36232 38556 40761 43996 46584 52407 54348 65994 69876 76993 77112 81522 87992 98991 104814 108696 122283 131988 139752 153986 163044 197982 209628 230979 244566 263976 296973 307972 326088 366849 395964 419256 461958 489132 593946 615944 692937 733698 791928 890919 923916 978264 1187892 1385874 1467396 1781838 1847832 2078811 2375784 2771748 2934792 3563676 4157622 5543496 6236433 7127352 8315244 12472866 16630488 24945732 49891464