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49106032 = 2419163991
BaseRepresentation
bin1011101101010…
…0110001110000
310102101211210221
42323110301300
5100032343112
64512302424
71134252163
oct273246160
9112354727
1049106032
11257a00a8
1214541a14
13a234531
146743ada
15449ee07
hex2ed4c70

49106032 has 40 divisors (see below), whose sum is σ = 100866560. Its totient is φ = 23094720.

The previous prime is 49106027. The next prime is 49106041. The reversal of 49106032 is 23060194.

49106032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×491060322 = 4822804757570048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49105988 and 49106006.

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, 49057 + ... + 50047.

It is an arithmetic number, because the mean of its divisors is an integer number (2521664).

Almost surely, 249106032 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 49106032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50433280).

49106032 is an abundant number, since it is smaller than the sum of its proper divisors (51760528).

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

49106032 is a wasteful number, since it uses less digits than its factorization.

49106032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 49106032 is about 7007.5696214879. The cubic root of 49106032 is about 366.1943288048.

The spelling of 49106032 in words is "forty-nine million, one hundred six thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 163 304 326 652 991 1304 1982 2608 3097 3964 6194 7928 12388 15856 18829 24776 37658 49552 75316 150632 161533 301264 323066 646132 1292264 2584528 3069127 6138254 12276508 24553016 49106032