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49532672 = 287131211
BaseRepresentation
bin1011110011110…
…0111100000000
310110012112001102
42330330330000
5100140021142
64525353532
71141010060
oct274747400
9113175042
1049532672
1125a616a2
12147088a8
13a353797
1468153a0
154536532
hex2f3cf00

49532672 has 72 divisors (see below), whose sum is σ = 114398592. Its totient is φ = 20966400.

The previous prime is 49532599. The next prime is 49532711. The reversal of 49532672 is 27623594.

49532672 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 7 ways as a sum of consecutive naturals, for example, 234647 + ... + 234857.

Almost surely, 249532672 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 49532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57199296).

49532672 is an abundant number, since it is smaller than the sum of its proper divisors (64865920).

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

49532672 is a wasteful number, since it uses less digits than its factorization.

49532672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 49532672 is about 7037.9451546598. The cubic root of 49532672 is about 367.2517879059.

The spelling of 49532672 in words is "forty-nine million, five hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 211 224 256 262 422 448 524 844 896 917 1048 1477 1688 1792 1834 2096 2954 3376 3668 4192 5908 6752 7336 8384 11816 13504 14672 16768 23632 27008 27641 29344 33536 47264 54016 55282 58688 94528 110564 117376 189056 193487 221128 234752 378112 386974 442256 773948 884512 1547896 1769024 3095792 3538048 6191584 7076096 12383168 24766336 49532672