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49422240 = 2532574903
BaseRepresentation
bin1011110010000…
…1111110100000
310102222220120100
42330201332200
5100123002430
64523142400
71140040110
oct274417640
9112886510
1049422240
112599672a
1214674a00
13a31543a
1467c7040
154513960
hex2f21fa0

49422240 has 144 divisors (see below), whose sum is σ = 192786048. Its totient is φ = 11294208.

The previous prime is 49422223. The next prime is 49422251. The reversal of 49422240 is 4222494.

49422240 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 (144).

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 23 ways as a sum of consecutive naturals, for example, 7629 + ... + 12531.

It is an arithmetic number, because the mean of its divisors is an integer number (1338792).

Almost surely, 249422240 is an apocalyptic number.

49422240 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 49422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96393024).

49422240 is an abundant number, since it is smaller than the sum of its proper divisors (143363808).

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

49422240 is a wasteful number, since it uses less digits than its factorization.

49422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 49422240 is about 7030.0953051861. The cubic root of 49422240 is about 366.9786582387.

The spelling of 49422240 in words is "forty-nine million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 4903 5040 9806 10080 14709 19612 24515 29418 34321 39224 44127 49030 58836 68642 73545 78448 88254 98060 102963 117672 137284 147090 156896 171605 176508 196120 205926 220635 235344 274568 294180 308889 343210 353016 392240 411852 441270 470688 514815 549136 588360 617778 686420 706032 784480 823704 882540 1029630 1098272 1176720 1235556 1372840 1412064 1544445 1647408 1765080 2059260 2353440 2471112 2745680 3088890 3294816 3530160 4118520 4942224 5491360 6177780 7060320 8237040 9884448 12355560 16474080 24711120 49422240