Search a number
-
+
49418160 = 24351118719
BaseRepresentation
bin1011110010000…
…0111110110000
310102222200222020
42330200332300
5100122340120
64523111440
71140022161
oct274407660
9112880866
1049418160
1125993660
1214672580
13a31361c
1467c5768
154512640
hex2f20fb0

49418160 has 80 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 11979520.

The previous prime is 49418147. The next prime is 49418203. The reversal of 49418160 is 6181494.

49418160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 6720 + ... + 11999.

It is an arithmetic number, because the mean of its divisors is an integer number (2089152).

Almost surely, 249418160 is an apocalyptic number.

49418160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49418160 is an abundant number, since it is smaller than the sum of its proper divisors (117714000).

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

49418160 is a wasteful number, since it uses less digits than its factorization.

49418160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18746 (or 18740 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 49418160 is about 7029.8051182092. The cubic root of 49418160 is about 366.9685594510.

The spelling of 49418160 in words is "forty-nine million, four hundred eighteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 18719 37438 56157 74876 93595 112314 149752 187190 205909 224628 280785 299504 374380 411818 449256 561570 617727 748760 823636 898512 1029545 1123140 1235454 1497520 1647272 2059090 2246280 2470908 3088635 3294544 4118180 4492560 4941816 6177270 8236360 9883632 12354540 16472720 24709080 49418160