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49982464 = 210719367
BaseRepresentation
bin1011111010101…
…0110000000000
310111001101001101
42332222300000
5100243414324
64543144144
71144562320
oct276526000
9114041041
1049982464
1126239624
12148a5054
13a48042c
1468d1280
1545c4944
hex2faac00

49982464 has 88 divisors (see below), whose sum is σ = 120527360. Its totient is φ = 20238336.

The previous prime is 49982459. The next prime is 49982467. The reversal of 49982464 is 46428994.

It is a super-2 number, since 2×499824642 = 4996493415022592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49982467) 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 7 ways as a sum of consecutive naturals, for example, 136009 + ... + 136375.

Almost surely, 249982464 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 49982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60263680).

49982464 is an abundant number, since it is smaller than the sum of its proper divisors (70544896).

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

49982464 is a wasteful number, since it uses less digits than its factorization.

49982464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 49982464 is about 7069.8277206733. The cubic root of 49982464 is about 368.3600760438.

The spelling of 49982464 in words is "forty-nine million, nine hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 367 448 512 532 608 734 896 1024 1064 1216 1468 1792 2128 2432 2569 2936 3584 4256 4864 5138 5872 6973 7168 8512 9728 10276 11744 13946 17024 19456 20552 23488 27892 34048 41104 46976 48811 55784 68096 82208 93952 97622 111568 136192 164416 187904 195244 223136 328832 375808 390488 446272 657664 780976 892544 1315328 1561952 1785088 2630656 3123904 3570176 6247808 7140352 12495616 24991232 49982464