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427470525 = 3252172343113
BaseRepresentation
bin11001011110101…
…010111010111101
31002210100202022200
4121132222322331
51333413024100
6110230102113
713410303516
oct3136527275
91083322280
10427470525
111aa328a29
12bb1aa939
136a73c151
1440ab5a0d
15277dce00
hex197aaebd

427470525 has 144 divisors (see below), whose sum is σ = 873265536. Its totient is φ = 198696960.

The previous prime is 427470523. The next prime is 427470529. The reversal of 427470525 is 525074724.

It is a happy number.

It is not a de Polignac number, because 427470525 - 21 = 427470523 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 427470525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427470523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3782869 + ... + 3782981.

It is an arithmetic number, because the mean of its divisors is an integer number (6064344).

Almost surely, 2427470525 is an apocalyptic number.

427470525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

427470525 is an abundant number, since it is smaller than the sum of its proper divisors (445795011).

427470525 is a wasteful number, since it uses less digits than its factorization.

427470525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 427470525 is about 20675.3603354331. The cubic root of 427470525 is about 753.3013137816.

The spelling of 427470525 in words is "four hundred twenty-seven million, four hundred seventy thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 17 23 25 43 45 51 69 75 85 113 115 129 153 207 215 225 255 339 345 387 391 425 565 575 645 731 765 989 1017 1035 1075 1173 1275 1695 1725 1921 1935 1955 2193 2599 2825 2967 3225 3519 3655 3825 4859 4945 5085 5175 5763 5865 6579 7797 8475 8901 9605 9675 9775 10965 12995 14577 14835 16813 17289 17595 18275 23391 24295 24725 25425 28815 29325 32895 38985 43731 44183 44505 48025 50439 54825 64975 72885 74175 82603 84065 86445 87975 111757 116955 121475 132549 144075 151317 164475 194925 218655 220915 222525 247809 252195 335271 364425 397647 413015 420325 432225 558785 584775 662745 743427 756585 1005813 1093275 1104575 1239045 1260975 1676355 1899869 1988235 2065075 2793925 3313725 3717135 3782925 5029065 5699607 6195225 8381775 9499345 9941175 17098821 18585675 25145325 28498035 47496725 85494105 142490175 427470525