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5286097440 = 2532513282377
BaseRepresentation
bin1001110110001001…
…10111001000100000
3111122101201120110200
410323010313020200
541311220104230
62232311225200
7244665041541
oct47304671040
914571646420
105286097440
112272956278
121036378200
136631cc710
143820964c8
1520e11b160
hex13b137220

5286097440 has 144 divisors (see below), whose sum is σ = 19426476888. Its totient is φ = 1301188608.

The previous prime is 5286097423. The next prime is 5286097441. The reversal of 5286097440 is 447906825.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2696101776 + 2589995664 = 51924^2 + 50892^2 .

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

It is a super-2 number, since 2×52860974402 = 55885652290349107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5286097441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122469 + ... + 159908.

Almost surely, 25286097440 is an apocalyptic number.

It is an amenable number.

5286097440 is an abundant number, since it is smaller than the sum of its proper divisors (14140379448).

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

5286097440 is a wasteful number, since it uses less digits than its factorization.

5286097440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282411 (or 282400 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5286097440 is about 72705.5530203849. The cubic root of 5286097440 is about 1741.9875820924.

The spelling of 5286097440 in words is "five billion, two hundred eighty-six million, ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 282377 564754 847131 1129508 1411885 1694262 2259016 2541393 2823770 3388524 3670901 4235655 4518032 5082786 5647540 6777048 7341802 8471310 9036064 10165572 11012703 11295080 12706965 13554096 14683604 16942620 18354505 20331144 22025406 22590160 25413930 27108192 29367208 33038109 33885240 36709010 40662288 44050812 45180320 50827860 55063515 58734416 66076218 67770480 73418020 81324576 88101624 101655720 110127030 117468832 132152436 135540960 146836040 165190545 176203248 203311440 220254060 264304872 293672080 330381090 352406496 406622880 440508120 528609744 587344160 660762180 881016240 1057219488 1321524360 1762032480 2643048720 5286097440