Search a number
-
+
49154157 = 32132171901
BaseRepresentation
bin1011101110000…
…0100001101101
310102111021211100
42323200201231
5100040413112
64513313313
71134542403
oct273404155
9112437740
1049154157
1125823278
1214565839
13a250400
146757473
1544ae2dc
hex2ee086d

49154157 has 36 divisors (see below), whose sum is σ = 81447444. Its totient is φ = 28454400.

The previous prime is 49154143. The next prime is 49154201. The reversal of 49154157 is 75145194.

49154157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10850436 + 38303721 = 3294^2 + 6189^2 .

It is not a de Polignac number, because 49154157 - 214 = 49137773 is a prime.

It is a super-2 number, since 2×491541572 = 4832262300761298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49154107) 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 35 ways as a sum of consecutive naturals, for example, 24907 + ... + 26807.

It is an arithmetic number, because the mean of its divisors is an integer number (2262429).

Almost surely, 249154157 is an apocalyptic number.

It is an amenable number.

49154157 is a deficient number, since it is larger than the sum of its proper divisors (32293287).

49154157 is a wasteful number, since it uses less digits than its factorization.

49154157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1934 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 49154157 is about 7011.0025673936. The cubic root of 49154157 is about 366.3139159341.

Subtracting from 49154157 its sum of digits (36), we obtain a square (49154121 = 70112).

The spelling of 49154157 in words is "forty-nine million, one hundred fifty-four thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 17 39 51 117 153 169 221 507 663 1521 1901 1989 2873 5703 8619 17109 24713 25857 32317 74139 96951 222417 290853 321269 420121 963807 1260363 2891421 3781089 5461573 16384719 49154157