Search a number
-
+
49445280 = 2532534337
BaseRepresentation
bin1011110010011…
…1100110100000
310110001002011200
42330213212200
5100124222110
64523441200
71140164223
oct274474640
9113032150
1049445280
1125a01a75
1214686200
13a322a81
1467d15ba
15451a6c0
hex2f279a0

49445280 has 72 divisors (see below), whose sum is σ = 168736932. Its totient is φ = 13185024.

The previous prime is 49445267. The next prime is 49445281. The reversal of 49445280 is 8254494.

49445280 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 2 ways, for example, as 48944016 + 501264 = 6996^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49445281) 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 11 ways as a sum of consecutive naturals, for example, 15729 + ... + 18608.

Almost surely, 249445280 is an apocalyptic number.

49445280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49445280 is an abundant number, since it is smaller than the sum of its proper divisors (119291652).

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

49445280 is a wasteful number, since it uses less digits than its factorization.

49445280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34358 (or 34347 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 49445280 is about 7031.7337833567. The cubic root of 49445280 is about 367.0356762582.

The spelling of 49445280 in words is "forty-nine million, four hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 34337 68674 103011 137348 171685 206022 274696 309033 343370 412044 515055 549392 618066 686740 824088 1030110 1098784 1236132 1373480 1545165 1648176 2060220 2472264 2746960 3090330 3296352 4120440 4944528 5493920 6180660 8240880 9889056 12361320 16481760 24722640 49445280