Search a number
-
+
5044335840 = 2532519184369
BaseRepresentation
bin1001011001010101…
…00111010011100000
3111000112210210220100
410230222213103200
540312322221330
62152313342400
7236001101325
oct45452472340
914015723810
105044335840
11215943a1a5
12b89407a00
136250b2b0b
1435bd22b4c
151e7cb3060
hex12caa74e0

5044335840 has 144 divisors (see below), whose sum is σ = 18119883600. Its totient is φ = 1274351616.

The previous prime is 5044335823. The next prime is 5044335871. The reversal of 5044335840 is 485334405.

5044335840 is a `hidden beast` number, since 5 + 0 + 44 + 33 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 5044335795 and 5044335804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64825 + ... + 119544.

It is an arithmetic number, because the mean of its divisors is an integer number (125832525).

Almost surely, 25044335840 is an apocalyptic number.

It is an amenable number.

5044335840 is an abundant number, since it is smaller than the sum of its proper divisors (13075547760).

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

5044335840 is a wasteful number, since it uses less digits than its factorization.

5044335840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184409 (or 184398 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5044335840 is about 71023.4879458901. The cubic root of 5044335840 is about 1715.0152956445.

The spelling of 5044335840 in words is "five billion, forty-four million, three hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 184369 368738 553107 737476 921845 1106214 1474952 1659321 1843690 2212428 2765535 2949904 3318642 3503011 3687380 4424856 5531070 5899808 6637284 7006022 7374760 8296605 8849712 10509033 11062140 13274568 14012044 14749520 16593210 17515055 17699424 21018066 22124280 26549136 28024088 29499040 31527099 33186420 35030110 42036132 44248560 52545165 53098272 56048176 63054198 66372840 70060220 84072264 88497120 105090330 112096352 126108396 132745680 140120440 157635495 168144528 210180660 252216792 265491360 280240880 315270990 336289056 420361320 504433584 560481760 630541980 840722640 1008867168 1261083960 1681445280 2522167920 5044335840