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49201932 = 223131971601
BaseRepresentation
bin1011101110110…
…0001100001100
310102120201100210
42323230030030
5100043430212
64514322420
71135131603
oct273541414
9112521323
1049201932
112585615a
1214589410
13a269090
14676aa3a
1544bd53c
hex2eec30c

49201932 has 48 divisors (see below), whose sum is σ = 124340832. Its totient is φ = 15052800.

The previous prime is 49201931. The next prime is 49201949. The reversal of 49201932 is 23910294.

49201932 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 2×492019322 = 4841660225065248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49201932.

It is not an unprimeable number, because it can be changed into a prime (49201931) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29932 + ... + 31532.

It is an arithmetic number, because the mean of its divisors is an integer number (2590434).

Almost surely, 249201932 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 49201932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62170416).

49201932 is an abundant number, since it is smaller than the sum of its proper divisors (75138900).

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

49201932 is a wasteful number, since it uses less digits than its factorization.

49201932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 49201932 is about 7014.4088845747. The cubic root of 49201932 is about 366.4325561577.

The spelling of 49201932 in words is "forty-nine million, two hundred one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 197 394 591 788 1182 1601 2364 2561 3202 4803 5122 6404 7683 9606 10244 15366 19212 20813 30732 41626 62439 83252 124878 249756 315397 630794 946191 1261588 1892382 3784764 4100161 8200322 12300483 16400644 24600966 49201932