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52035104400 = 2435264767021
BaseRepresentation
bin110000011101100010…
…001010111010010000
311222022102020012000220
4300131202022322100
51323031441320100
635523220513040
73521323042506
oct603542127220
9158272205026
1052035104400
1120082507114
12a10254b780
134ba3588506
142738b26676
15154838daa0
hexc1d88ae90

52035104400 has 120 divisors (see below), whose sum is σ = 166945904064. Its totient is φ = 13854374400.

The previous prime is 52035104399. The next prime is 52035104417. The reversal of 52035104400 is 440153025.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 742890 + ... + 809910.

Almost surely, 252035104400 is an apocalyptic number.

52035104400 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 52035104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83472952032).

52035104400 is an abundant number, since it is smaller than the sum of its proper divisors (114910799664).

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

52035104400 is a wasteful number, since it uses less digits than its factorization.

52035104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67689 (or 67678 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 52035104400 its reverse (440153025), we get a palindrome (52475257425).

The spelling of 52035104400 in words is "fifty-two billion, thirty-five million, one hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 647 1200 1294 1941 2588 3235 3882 5176 6470 7764 9705 10352 12940 15528 16175 19410 25880 31056 32350 38820 48525 51760 64700 67021 77640 97050 129400 134042 155280 194100 201063 258800 268084 335105 388200 402126 536168 670210 776400 804252 1005315 1072336 1340420 1608504 1675525 2010630 2680840 3217008 3351050 4021260 5026575 5361680 6702100 8042520 10053150 13404200 16085040 20106300 26808400 40212600 43362587 80425200 86725174 130087761 173450348 216812935 260175522 346900696 433625870 520351044 650438805 693801392 867251740 1040702088 1084064675 1300877610 1734503480 2081404176 2168129350 2601755220 3252194025 3469006960 4336258700 5203510440 6504388050 8672517400 10407020880 13008776100 17345034800 26017552200 52035104400