Search a number
-
+
5044033620 = 223551761051
BaseRepresentation
bin1001011001010010…
…11101100001010100
3111000112020110100000
410230221131201110
540312233033440
62152303051300
7235665402243
oct45451354124
914015213300
105044033620
11215925312a
12b892a0b30
136250083a2
1435bc8495a
151e7c53730
hex12ca5d854

5044033620 has 144 divisors (see below), whose sum is σ = 16800533568. Its totient is φ = 1265932800.

The previous prime is 5044033567. The next prime is 5044033649. The reversal of 5044033620 is 263304405.

5044033620 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 0 + 33 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52095 + ... + 113145.

It is an arithmetic number, because the mean of its divisors is an integer number (116670372).

Almost surely, 25044033620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5044033620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400266784).

5044033620 is an abundant number, since it is smaller than the sum of its proper divisors (11756499948).

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

5044033620 is a wasteful number, since it uses less digits than its factorization.

5044033620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61092 (or 61078 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 5044033620 is about 71021.3603080087. The cubic root of 5044033620 is about 1714.9810445366.

The spelling of 5044033620 in words is "five billion, forty-four million, thirty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 243 255 270 306 324 340 405 459 486 510 540 612 765 810 918 972 1020 1215 1377 1530 1620 1836 2295 2430 2754 3060 4131 4590 4860 5508 6885 8262 9180 13770 16524 20655 27540 41310 61051 82620 122102 183153 244204 305255 366306 549459 610510 732612 915765 1037867 1098918 1221020 1648377 1831530 2075734 2197836 2747295 3113601 3296754 3663060 4151468 4945131 5189335 5494590 6227202 6593508 8241885 9340803 9890262 10378670 10989180 12454404 14835393 15568005 16483770 18681606 19780524 20757340 24725655 28022409 29670786 31136010 32967540 37363212 46704015 49451310 56044818 59341572 62272020 74176965 84067227 93408030 98902620 112089636 140112045 148353930 168134454 186816060 252201681 280224090 296707860 336268908 420336135 504403362 560448180 840672270 1008806724 1261008405 1681344540 2522016810 5044033620