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49381376 = 21511137
BaseRepresentation
bin1011110001100…
…0000000000000
310102220211111212
42330120000000
5100120201001
64522225252
71136510012
oct274300000
9112824455
1049381376
1125968a60
1214655228
13a2cc965
1467b61b2
1545067bb
hex2f18000

49381376 has 64 divisors (see below), whose sum is σ = 108525960. Its totient is φ = 22282240.

The previous prime is 49381363. The next prime is 49381411. The reversal of 49381376 is 67318394.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360380 + ... + 360516.

Almost surely, 249381376 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 49381376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54262980).

49381376 is an abundant number, since it is smaller than the sum of its proper divisors (59144584).

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

49381376 is an equidigital number, since it uses as much as digits as its factorization.

49381376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 49381376 is about 7027.1883424311. The cubic root of 49381376 is about 366.8774868435.

The spelling of 49381376 in words is "forty-nine million, three hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 137 176 256 274 352 512 548 704 1024 1096 1408 1507 2048 2192 2816 3014 4096 4384 5632 6028 8192 8768 11264 12056 16384 17536 22528 24112 32768 35072 45056 48224 70144 90112 96448 140288 180224 192896 280576 360448 385792 561152 771584 1122304 1543168 2244608 3086336 4489216 6172672 12345344 24690688 49381376