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49148672 = 281131699
BaseRepresentation
bin1011101101111…
…1001100000000
310102111000022012
42323133030000
5100040224142
64513232052
71134520406
oct273371400
9112430265
1049148672
112581a141
1214562628
13a24aa71
146755476
1544ac882
hex2edf300

49148672 has 36 divisors (see below), whose sum is σ = 99031800. Its totient is φ = 24342528.

The previous prime is 49148657. The next prime is 49148681. The reversal of 49148672 is 27684194.

49148672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 28079 + ... + 29777.

Almost surely, 249148672 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 49148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49515900).

49148672 is an abundant number, since it is smaller than the sum of its proper divisors (49883128).

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

49148672 is a wasteful number, since it uses less digits than its factorization.

49148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1814 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 49148672 is about 7010.6113856068. The cubic root of 49148672 is about 366.3002900498.

The spelling of 49148672 in words is "forty-nine million, one hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 904 1699 1808 3398 3616 6796 7232 13592 14464 27184 28928 54368 108736 191987 217472 383974 434944 767948 1535896 3071792 6143584 12287168 24574336 49148672