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49940016 = 24372171249
BaseRepresentation
bin1011111010000…
…0011000110000
310110222012211020
42332200120300
5100241040031
64542215440
71144324500
oct276403060
9113865736
1049940016
112620a745
1214884580
13a467009
1468bda00
1545b7096
hex2fa0630

49940016 has 120 divisors (see below), whose sum is σ = 159030000. Its totient is φ = 13418496.

The previous prime is 49939987. The next prime is 49940017. The reversal of 49940016 is 61004994.

It is not an unprimeable number, because it can be changed into a prime (49940017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39360 + ... + 40608.

It is an arithmetic number, because the mean of its divisors is an integer number (1325250).

Almost surely, 249940016 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 49940016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79515000).

49940016 is an abundant number, since it is smaller than the sum of its proper divisors (109089984).

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

49940016 is a wasteful number, since it uses less digits than its factorization.

49940016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 49940016 is about 7066.8250296721. The cubic root of 49940016 is about 368.2557689481.

The spelling of 49940016 in words is "forty-nine million, nine hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1249 1428 1666 1904 2352 2498 2499 2856 3332 3747 4996 4998 5712 6664 7494 8743 9992 9996 13328 14988 17486 19984 19992 21233 26229 29976 34972 39984 42466 52458 59952 61201 63699 69944 84932 104916 122402 127398 139888 148631 169864 183603 209832 244804 254796 297262 339728 367206 419664 445893 489608 509592 594524 734412 891786 979216 1019184 1040417 1189048 1468824 1783572 2080834 2378096 2937648 3121251 3567144 4161668 6242502 7134288 8323336 12485004 16646672 24970008 49940016