Search a number
-
+
49413408 = 2531173641
BaseRepresentation
bin1011110001111…
…1110100100000
310102222110110020
42330133310200
5100122212113
64523033440
71140002262
oct274376440
9112873406
1049413408
1125990030
121466b880
13a311405
1467c3b32
154511023
hex2f1fd20

49413408 has 96 divisors (see below), whose sum is σ = 143664192. Its totient is φ = 14745600.

The previous prime is 49413383. The next prime is 49413421. The reversal of 49413408 is 80431494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76768 + ... + 77408.

It is an arithmetic number, because the mean of its divisors is an integer number (1496502).

Almost surely, 249413408 is an apocalyptic number.

49413408 is a gapful number since it is divisible by the number (48) 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 49413408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71832096).

49413408 is an abundant number, since it is smaller than the sum of its proper divisors (94250784).

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

49413408 is a wasteful number, since it uses less digits than its factorization.

49413408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 49413408 is about 7029.4671206287. The cubic root of 49413408 is about 366.9567966328.

The spelling of 49413408 in words is "forty-nine million, four hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 73 88 96 132 146 176 219 264 292 352 438 528 584 641 803 876 1056 1168 1282 1606 1752 1923 2336 2409 2564 3212 3504 3846 4818 5128 6424 7008 7051 7692 9636 10256 12848 14102 15384 19272 20512 21153 25696 28204 30768 38544 42306 46793 56408 61536 77088 84612 93586 112816 140379 169224 187172 225632 280758 338448 374344 514723 561516 676896 748688 1029446 1123032 1497376 1544169 2058892 2246064 3088338 4117784 4492128 6176676 8235568 12353352 16471136 24706704 49413408