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49166560 = 2551372243
BaseRepresentation
bin1011101110001…
…1100011100000
310102111220211201
42323203203200
5100041312220
64513450544
71134623512
oct273434340
9112456751
1049166560
1125831623
1214570a54
13a255c51
14675bbb2
1544b2d0a
hex2ee38e0

49166560 has 48 divisors (see below), whose sum is σ = 117056016. Its totient is φ = 19514368.

The previous prime is 49166489. The next prime is 49166561. The reversal of 49166560 is 6566194.

49166560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49166561) 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 7 ways as a sum of consecutive naturals, for example, 20799 + ... + 23041.

It is an arithmetic number, because the mean of its divisors is an integer number (2438667).

Almost surely, 249166560 is an apocalyptic number.

49166560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58528008).

49166560 is an abundant number, since it is smaller than the sum of its proper divisors (67889456).

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

49166560 is a wasteful number, since it uses less digits than its factorization.

49166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 49166560 is about 7011.8870498604. The cubic root of 49166560 is about 366.3447238365.

It can be divided in two parts, 4916 and 6560, that added together give a triangular number (11476 = T151).

The spelling of 49166560 in words is "forty-nine million, one hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2243 2740 4384 4486 5480 8972 10960 11215 17944 21920 22430 35888 44860 71776 89720 179440 307291 358880 614582 1229164 1536455 2458328 3072910 4916656 6145820 9833312 12291640 24583280 49166560