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49980240 = 24365857
BaseRepresentation
bin1011111010101…
…0001101010000
310111001021000000
42332222031100
5100243331430
64543130000
71144552662
oct276521520
9114037000
1049980240
1126237992
12148a3900
13a47c40b
1468d0532
1545c3e60
hex2faa350

49980240 has 140 divisors (see below), whose sum is σ = 174429684. Its totient is φ = 13312512.

The previous prime is 49980181. The next prime is 49980251. The reversal of 49980240 is 4208994.

It is a happy number.

49980240 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 34012224 + 15968016 = 5832^2 + 3996^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 49980195 and 49980204.

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 27 ways as a sum of consecutive naturals, for example, 57892 + ... + 58748.

Almost surely, 249980240 is an apocalyptic number.

49980240 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 49980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87214842).

49980240 is an abundant number, since it is smaller than the sum of its proper divisors (124449444).

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

49980240 is an equidigital number, since it uses as much as digits as its factorization.

49980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 49980240 is about 7069.6704307910. The cubic root of 49980240 is about 368.3546124945.

The spelling of 49980240 in words is "forty-nine million, nine hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 857 972 1080 1215 1296 1458 1620 1714 1944 2160 2430 2571 2916 3240 3428 3645 3888 4285 4860 5142 5832 6480 6856 7290 7713 8570 9720 10284 11664 12855 13712 14580 15426 17140 19440 20568 23139 25710 29160 30852 34280 38565 41136 46278 51420 58320 61704 68560 69417 77130 92556 102840 115695 123408 138834 154260 185112 205680 208251 231390 277668 308520 347085 370224 416502 462780 555336 617040 624753 694170 833004 925560 1041255 1110672 1249506 1388340 1666008 1851120 2082510 2499012 2776680 3123765 3332016 4165020 4998024 5553360 6247530 8330040 9996048 12495060 16660080 24990120 49980240