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538714848 = 25371515309
BaseRepresentation
bin100000000111000…
…010001011100000
31101112200112211210
4200013002023200
52100402333343
6125242310120
716231000140
oct4007021340
91345615753
10538714848
112570aa491
121304b8340
13877bb9a9
1451792920
1532464333
hex201c22e0

538714848 has 96 divisors (see below), whose sum is σ = 1627153920. Its totient is φ = 152870400.

The previous prime is 538714831. The next prime is 538714849. The reversal of 538714848 is 848417835.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 538714797 and 538714806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538714849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98818 + ... + 104126.

It is an arithmetic number, because the mean of its divisors is an integer number (16949520).

Almost surely, 2538714848 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 538714848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813576960).

538714848 is an abundant number, since it is smaller than the sum of its proper divisors (1088439072).

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

538714848 is a wasteful number, since it uses less digits than its factorization.

538714848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5472 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 538714848 is about 23210.2315369752. The cubic root of 538714848 is about 813.6787645553.

The spelling of 538714848 in words is "five hundred thirty-eight million, seven hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 224 302 336 453 604 672 906 1057 1208 1812 2114 2416 3171 3624 4228 4832 5309 6342 7248 8456 10618 12684 14496 15927 16912 21236 25368 31854 33824 37163 42472 50736 63708 74326 84944 101472 111489 127416 148652 169888 222978 254832 297304 445956 509664 594608 801659 891912 1189216 1603318 1783824 2404977 3206636 3567648 4809954 5611613 6413272 9619908 11223226 12826544 16834839 19239816 22446452 25653088 33669678 38479632 44892904 67339356 76959264 89785808 134678712 179571616 269357424 538714848