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5036707440 = 2433523101383
BaseRepresentation
bin1001011000011011…
…00000111001110000
3111000000110020201000
410230031200321300
540303344114230
62151442042000
7235546210152
oct45415407160
914000406630
105036707440
1121550a9936
12b86949300
1362364187b
1435acd8ad2
151e72a7b60
hex12c360e70

5036707440 has 160 divisors (see below), whose sum is σ = 18103127040. Its totient is φ = 1284712704.

The previous prime is 5036707393. The next prime is 5036707447. The reversal of 5036707440 is 447076305.

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 = 5036707395 and 5036707404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5036707447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012 + ... + 100371.

It is an arithmetic number, because the mean of its divisors is an integer number (113144544).

Almost surely, 25036707440 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 5036707440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9051563520).

5036707440 is an abundant number, since it is smaller than the sum of its proper divisors (13066419600).

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

5036707440 is a wasteful number, since it uses less digits than its factorization.

5036707440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101428 (or 101416 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 5036707440 is about 70969.7642662000. The cubic root of 5036707440 is about 1714.1503371667.

The spelling of 5036707440 in words is "five billion, thirty-six million, seven hundred seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 24840 49680 101383 202766 304149 405532 506915 608298 811064 912447 1013830 1216596 1520745 1622128 1824894 2027660 2331809 2433192 2737341 3041490 3649788 4055320 4562235 4663618 4866384 5474682 6082980 6995427 7299576 8110640 9124470 9327236 10949364 11659045 12165960 13686705 13990854 14599152 18248940 18654472 20986281 21898728 23318090 24331920 27373410 27981708 34977135 36497880 37308944 41972562 43797456 46636180 54746820 55963416 62958843 69954270 72995760 83945124 93272360 104931405 109493640 111926832 125917686 139908540 167890248 186544720 209862810 218987280 251835372 279817080 314794215 335780496 419725620 503670744 559634160 629588430 839451240 1007341488 1259176860 1678902480 2518353720 5036707440