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52400800608 = 25313101415721
BaseRepresentation
bin110000110011010101…
…001100001101100000
312000020220100110220220
4300303111030031200
51324304101104413
640023403003040
73533353312302
oct606325141540
9160226313826
1052400800608
112024a982092
12a1a4b09480
134c31278bc0
14277151b972
15156a528223
hexc3354c360

52400800608 has 96 divisors (see below), whose sum is σ = 149600056032. Its totient is φ = 15963648000.

The previous prime is 52400800579. The next prime is 52400800609. The reversal of 52400800608 is 80600800425.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52400800609) 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, 81813 + ... + 333908.

It is an arithmetic number, because the mean of its divisors is an integer number (1558333917).

Almost surely, 252400800608 is an apocalyptic number.

It is an amenable number.

52400800608 is an abundant number, since it is smaller than the sum of its proper divisors (97199255424).

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

52400800608 is a wasteful number, since it uses less digits than its factorization.

52400800608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415848 (or 415840 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 52400800608 in words is "fifty-two billion, four hundred million, eight hundred thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 101 104 156 202 208 303 312 404 416 606 624 808 1212 1248 1313 1616 2424 2626 3232 3939 4848 5252 7878 9696 10504 15756 21008 31512 42016 63024 126048 415721 831442 1247163 1662884 2494326 3325768 4988652 5404373 6651536 9977304 10808746 13303072 16213119 19954608 21617492 32426238 39909216 41987821 43234984 64852476 83975642 86469968 125963463 129704952 167951284 172939936 251926926 259409904 335902568 503853852 518819808 545841673 671805136 1007707704 1091683346 1343610272 1637525019 2015415408 2183366692 3275050038 4030830816 4366733384 6550100076 8733466768 13100200152 17466933536 26200400304 52400800608