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42524523400 = 2352547738821
BaseRepresentation
bin100111100110101010…
…001011101110001000
311001202121101121120011
4213212222023232020
51144042234222100
631311400041304
73033540325222
oct474652135610
9131677347504
1042524523400
1117041a91917
1282a9463234
1340190b9ca8
1420b59a3412
15118d458bba
hex9e6a8bb88

42524523400 has 48 divisors (see below), whose sum is σ = 98890115940. Its totient is φ = 17006265600.

The previous prime is 42524523359. The next prime is 42524523407. The reversal of 42524523400 is 432542524.

42524523400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 33049058436 + 9475464964 = 181794^2 + 97342^2 .

It is not an unprimeable number, because it can be changed into a prime (42524523407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1075990 + ... + 1114810.

Almost surely, 242524523400 is an apocalyptic number.

42524523400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42524523400 is an abundant number, since it is smaller than the sum of its proper divisors (56365592540).

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

42524523400 is a wasteful number, since it uses less digits than its factorization.

42524523400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44314 (or 44305 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

The spelling of 42524523400 in words is "forty-two billion, five hundred twenty-four million, five hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5477 10954 21908 27385 38821 43816 54770 77642 109540 136925 155284 194105 219080 273850 310568 388210 547700 776420 970525 1095400 1552840 1941050 3882100 7764200 212622617 425245234 850490468 1063113085 1700980936 2126226170 4252452340 5315565425 8504904680 10631130850 21262261700 42524523400