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49168768 = 271147743
BaseRepresentation
bin1011101110010…
…0000110000000
310102112000212111
42323210012000
5100041400033
64513505104
71134633115
oct273440600
9112460774
1049168768
1125833250
1214572194
13a256c5c
14675c90c
1544b37cd
hex2ee4180

49168768 has 64 divisors (see below), whose sum is σ = 109278720. Its totient is φ = 21844480.

The previous prime is 49168741. The next prime is 49168829. The reversal of 49168768 is 86786194.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65805 + ... + 66547.

It is an arithmetic number, because the mean of its divisors is an integer number (1707480).

Almost surely, 249168768 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 49168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54639360).

49168768 is an abundant number, since it is smaller than the sum of its proper divisors (60109952).

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

49168768 is a wasteful number, since it uses less digits than its factorization.

49168768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 803 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The square root of 49168768 is about 7012.0444950100. The cubic root of 49168768 is about 366.3502077605.

The spelling of 49168768 in words is "forty-nine million, one hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 352 376 517 704 743 752 1034 1408 1486 1504 2068 2972 3008 4136 5944 6016 8173 8272 11888 16346 16544 23776 32692 33088 34921 47552 65384 66176 69842 95104 130768 139684 261536 279368 384131 523072 558736 768262 1046144 1117472 1536524 2234944 3073048 4469888 6146096 12292192 24584384 49168768