Search a number
-
+
49033440 = 25325172003
BaseRepresentation
bin1011101100001…
…1000011100000
310102021011020100
42323003003200
5100023032230
64510542400
71133530431
oct273030340
9112234210
1049033440
1125750605
1214507a00
13a20a491
146725488
154488660
hex2ec30e0

49033440 has 144 divisors (see below), whose sum is σ = 177257808. Its totient is φ = 12300288.

The previous prime is 49033421. The next prime is 49033451. The reversal of 49033440 is 4433094.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23479 + ... + 25481.

It is an arithmetic number, because the mean of its divisors is an integer number (1230957).

Almost surely, 249033440 is an apocalyptic number.

49033440 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 49033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88628904).

49033440 is an abundant number, since it is smaller than the sum of its proper divisors (128224368).

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

49033440 is a wasteful number, since it uses less digits than its factorization.

49033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 49033440 is about 7002.3881640480. The cubic root of 49033440 is about 366.0137950547.

It can be divided in two parts, 490 and 33440, that added together give a triangular number (33930 = T260).

The spelling of 49033440 in words is "forty-nine million, thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2003 2040 2448 2720 3060 4006 4080 4896 6009 6120 8012 8160 10015 12018 12240 16024 18027 20030 24036 24480 30045 32048 34051 36054 40060 48072 60090 64096 68102 72108 80120 90135 96144 102153 120180 136204 144216 160240 170255 180270 192288 204306 240360 272408 288432 306459 320480 340510 360540 408612 480720 510765 544816 576864 612918 681020 721080 817224 961440 1021530 1089632 1225836 1362040 1442160 1532295 1634448 2043060 2451672 2724080 2884320 3064590 3268896 4086120 4903344 5448160 6129180 8172240 9806688 12258360 16344480 24516720 49033440