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49668424 = 23132172161
BaseRepresentation
bin1011110101111…
…0000101001000
310110110102021021
42331132011020
5100203342144
64532322224
71142113621
oct275360510
9113412237
1049668424
1126044693
1214773374
13a3a0500
14684ca48
154561884
hex2f5e148

49668424 has 48 divisors (see below), whose sum is σ = 106824420. Its totient is φ = 21565440.

The previous prime is 49668419. The next prime is 49668427. The reversal of 49668424 is 42486694.

49668424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 16144324 + 33524100 = 4018^2 + 5790^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49668427) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21904 + ... + 24064.

Almost surely, 249668424 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 49668424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53412210).

49668424 is an abundant number, since it is smaller than the sum of its proper divisors (57155996).

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

49668424 is a wasteful number, since it uses less digits than its factorization.

49668424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2193 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 49668424 is about 7047.5828480409. The cubic root of 49668424 is about 367.5869854408.

The spelling of 49668424 in words is "forty-nine million, six hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 676 884 1352 1768 2161 2873 4322 5746 8644 11492 17288 22984 28093 36737 56186 73474 112372 146948 224744 293896 365209 477581 730418 955162 1460836 1910324 2921672 3820648 6208553 12417106 24834212 49668424