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49805840 = 24571931151
BaseRepresentation
bin1011110111111…
…1101000010000
310110201101202202
42331333220100
5100222241330
64535302332
71143225350
oct275775020
9113641682
1049805840
1126128957
121481a9a8
13a41ac16
146886b60
15458c445
hex2f7fa10

49805840 has 160 divisors (see below), whose sum is σ = 144752640. Its totient is φ = 15552000.

The previous prime is 49805837. The next prime is 49805881. The reversal of 49805840 is 4850894.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 49805794 and 49805803.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329765 + ... + 329915.

It is an arithmetic number, because the mean of its divisors is an integer number (904704).

Almost surely, 249805840 is an apocalyptic number.

49805840 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 49805840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72376320).

49805840 is an abundant number, since it is smaller than the sum of its proper divisors (94946800).

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

49805840 is a wasteful number, since it uses less digits than its factorization.

49805840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 49805840 is about 7057.3252723677. The cubic root of 49805840 is about 367.9256702429.

The spelling of 49805840 in words is "forty-nine million, eight hundred five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 31 35 38 40 56 62 70 76 80 95 112 124 133 140 151 152 155 190 217 248 266 280 302 304 310 380 434 496 532 560 589 604 620 665 755 760 868 1057 1064 1085 1178 1208 1240 1330 1510 1520 1736 2114 2128 2170 2356 2416 2480 2660 2869 2945 3020 3472 4123 4228 4340 4681 4712 5285 5320 5738 5890 6040 8246 8456 8680 9362 9424 10570 10640 11476 11780 12080 14345 16492 16912 17360 18724 20083 20615 21140 22952 23405 23560 28690 32767 32984 37448 40166 41230 42280 45904 46810 47120 57380 65534 65968 74896 80332 82460 84560 88939 93620 100415 114760 131068 160664 163835 164920 177878 187240 200830 229520 262136 321328 327670 329840 355756 374480 401660 444695 524272 622573 655340 711512 803320 889390 1245146 1310680 1423024 1606640 1778780 2490292 2621360 3112865 3557560 4980584 6225730 7115120 9961168 12451460 24902920 49805840