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428020425 = 32527299371
BaseRepresentation
bin11001100000110…
…001001011001001
31002211101200122100
4121200301023021
51334033123200
6110245544013
713415053650
oct3140611311
91084350570
10428020425
111aa674098
12bb415009
136a8a2531
1440bba197
152789ad00
hex198312c9

428020425 has 72 divisors (see below), whose sum is σ = 906459840. Its totient is φ = 188899200.

The previous prime is 428020349. The next prime is 428020427. The reversal of 428020425 is 524020824.

It is a happy number.

It is not a de Polignac number, because 428020425 - 27 = 428020297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428020427) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40990 + ... + 50360.

It is an arithmetic number, because the mean of its divisors is an integer number (12589720).

Almost surely, 2428020425 is an apocalyptic number.

428020425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428020425 is an abundant number, since it is smaller than the sum of its proper divisors (478439415).

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

428020425 is a wasteful number, since it uses less digits than its factorization.

428020425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9423 (or 9415 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 428020425 is about 20688.6544995077. The cubic root of 428020425 is about 753.6241920997.

The spelling of 428020425 in words is "four hundred twenty-eight million, twenty thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 29 35 45 63 75 87 105 145 175 203 225 261 315 435 525 609 725 1015 1305 1575 1827 2175 3045 5075 6525 9135 9371 15225 28113 45675 46855 65597 84339 140565 196791 234275 271759 327985 421695 590373 702825 815277 983955 1358795 1639925 1902313 2108475 2445831 2951865 4076385 4919775 5706939 6793975 9511565 12229155 14759325 17120817 20381925 28534695 47557825 61145775 85604085 142673475 428020425