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49089240 = 23345109139
BaseRepresentation
bin1011101101000…
…0101011011000
310102100222210000
42323100223120
5100031323430
64512053000
71134152214
oct273205330
9112328700
1049089240
1125789522
1214534160
13a2299b5
14673b944
154499e60
hex2ed0ad8

49089240 has 160 divisors (see below), whose sum is σ = 167706000. Its totient is φ = 12877056.

The previous prime is 49089233. The next prime is 49089247. The reversal of 49089240 is 4298094.

It is a happy number.

49089240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49089233) and next prime (49089247).

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 = 49089195 and 49089204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49089247) 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 39 ways as a sum of consecutive naturals, for example, 353091 + ... + 353229.

Almost surely, 249089240 is an apocalyptic number.

49089240 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 49089240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83853000).

49089240 is an abundant number, since it is smaller than the sum of its proper divisors (118616760).

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

49089240 is a wasteful number, since it uses less digits than its factorization.

49089240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

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

The square root of 49089240 is about 7006.3713861028. The cubic root of 49089240 is about 366.1525835177.

The spelling of 49089240 in words is "forty-nine million, eighty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 109 120 135 139 162 180 216 218 270 278 324 327 360 405 417 436 540 545 556 648 654 695 810 834 872 981 1080 1090 1112 1251 1308 1390 1620 1635 1668 1962 2085 2180 2502 2616 2780 2943 3240 3270 3336 3753 3924 4170 4360 4905 5004 5560 5886 6255 6540 7506 7848 8340 8829 9810 10008 11259 11772 12510 13080 14715 15012 15151 16680 17658 18765 19620 22518 23544 25020 29430 30024 30302 35316 37530 39240 44145 45036 45453 50040 56295 58860 60604 70632 75060 75755 88290 90072 90906 112590 117720 121208 136359 150120 151510 176580 181812 225180 227265 272718 303020 353160 363624 409077 450360 454530 545436 606040 681795 818154 909060 1090872 1227231 1363590 1636308 1818120 2045385 2454462 2727180 3272616 4090770 4908924 5454360 6136155 8181540 9817848 12272310 16363080 24544620 49089240