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52354024000 = 265312895077
BaseRepresentation
bin110000110000100010…
…110000001001000000
312000010122022222110221
4300300202300021000
51324210112232000
640015012232424
73532244601325
oct606042601100
9160118288427
1052354024000
1120226533133
12a19130b714
134c2467ba35
142769222b4c
15156638861a
hexc308b0240

52354024000 has 112 divisors (see below), whose sum is σ = 129780883440. Its totient is φ = 20921241600.

The previous prime is 52354023979. The next prime is 52354024039. The reversal of 52354024000 is 42045325.

It can be written as a sum of positive squares in 8 ways, for example, as 868598784 + 51485425216 = 29472^2 + 226904^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10309462 + ... + 10314538.

Almost surely, 252354024000 is an apocalyptic number.

52354024000 is a gapful number since it is divisible by the number (50) 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 52354024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64890441720).

52354024000 is an abundant number, since it is smaller than the sum of its proper divisors (77426859440).

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

52354024000 is a wasteful number, since it uses less digits than its factorization.

52354024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 52354024000 its reverse (42045325), we get a palindrome (52396069325).

The spelling of 52354024000 in words is "fifty-two billion, three hundred fifty-four million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1289 1600 2000 2578 4000 5077 5156 6445 8000 10154 10312 12890 20308 20624 25385 25780 32225 40616 41248 50770 51560 64450 81232 82496 101540 103120 126925 128900 161125 162464 203080 206240 253850 257800 322250 324928 406160 412480 507700 515600 634625 644500 812320 1015400 1031200 1269250 1289000 1624640 2030800 2062400 2538500 2578000 4061600 5077000 5156000 6544253 8123200 10154000 10312000 13088506 20308000 26177012 32721265 40616000 52354024 65442530 104708048 130885060 163606325 209416096 261770120 327212650 418832192 523540240 654425300 818031625 1047080480 1308850600 1636063250 2094160960 2617701200 3272126500 5235402400 6544253000 10470804800 13088506000 26177012000 52354024000