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5240300832 = 25351351839
BaseRepresentation
bin1001110000101100…
…01010010100100000
3111112012112212100000
410320112022110200
541213004111312
62223553500000
7243600551664
oct47026122440
914465485300
105240300832
11224a016638
121022b71600
13656886630
14379d748a4
1520a0c1adc
hex13858a520

5240300832 has 144 divisors (see below), whose sum is σ = 16643128320. Its totient is φ = 1612369152.

The previous prime is 5240300789. The next prime is 5240300851. The reversal of 5240300832 is 2380030425.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 5240300796 and 5240300805.

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, 75169 + ... + 127007.

It is an arithmetic number, because the mean of its divisors is an integer number (115577280).

Almost surely, 25240300832 is an apocalyptic number.

5240300832 is a gapful number since it is divisible by the number (52) 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 5240300832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321564160).

5240300832 is an abundant number, since it is smaller than the sum of its proper divisors (11402827488).

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

5240300832 is a wasteful number, since it uses less digits than its factorization.

5240300832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51877 (or 51857 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5240300832 is about 72389.9221715288. The cubic root of 5240300832 is about 1736.9423589560.

The spelling of 5240300832 in words is "five billion, two hundred forty million, three hundred thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 5616 6318 7776 8424 11232 12636 16848 25272 33696 50544 51839 101088 103678 155517 207356 311034 414712 466551 622068 673907 829424 933102 1244136 1347814 1399653 1658848 1866204 2021721 2488272 2695628 2799306 3732408 4043442 4198959 4976544 5391256 5598612 6065163 7464816 8086884 8397918 10782512 11197224 12130326 12596877 14929632 16173768 16795836 18195489 21565024 22394448 24260652 25193754 32347536 33591672 36390978 44788896 48521304 50387508 54586467 64695072 67183344 72781956 97042608 100775016 109172934 134366688 145563912 163759401 194085216 201550032 218345868 291127824 327518802 403100064 436691736 582255648 655037604 873383472 1310075208 1746766944 2620150416 5240300832