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49418864 = 24111783199
BaseRepresentation
bin1011110010000…
…1001001110000
310102222201221022
42330201021300
5100122400424
64523115012
71140024215
oct274411160
9112881838
1049418864
1125994140
1214672a68
13a313a41
1467c5b0c
15451295e
hex2f21270

49418864 has 80 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 20782080.

The previous prime is 49418851. The next prime is 49418879. The reversal of 49418864 is 46881494.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 248237 + ... + 248435.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 249418864 is an apocalyptic number.

49418864 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 49418864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

49418864 is an abundant number, since it is smaller than the sum of its proper divisors (63073936).

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

49418864 is a wasteful number, since it uses less digits than its factorization.

49418864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 49418864 is about 7029.8551905427. The cubic root of 49418864 is about 366.9703020266.

The spelling of 49418864 in words is "forty-nine million, four hundred eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 83 88 136 166 176 187 199 272 332 374 398 664 748 796 913 1328 1411 1496 1592 1826 2189 2822 2992 3184 3383 3652 4378 5644 6766 7304 8756 11288 13532 14608 15521 16517 17512 22576 27064 31042 33034 35024 37213 54128 62084 66068 74426 124168 132136 148852 181687 248336 264272 280789 297704 363374 561578 595408 726748 1123156 1453496 2246312 2906992 3088679 4492624 6177358 12354716 24709432 49418864