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428015375 = 53171910601
BaseRepresentation
bin11001100000101…
…111111100001111
31002211101102201022
4121200233330033
51334032443000
6110245504355
713415033144
oct3140577417
91084342638
10428015375
111aa670317
12bb4120bb
136a8a0148
1440bb83cb
1527899585
hex1982ff0f

428015375 has 32 divisors (see below), whose sum is σ = 595408320. Its totient is φ = 305280000.

The previous prime is 428015339. The next prime is 428015377. The reversal of 428015375 is 573510824.

It is a happy number.

It is not a de Polignac number, because 428015375 - 26 = 428015311 is a prime.

It is a super-2 number, since 2×4280153752 = 366394322472781250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428015377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35075 + ... + 45675.

It is an arithmetic number, because the mean of its divisors is an integer number (18606510).

Almost surely, 2428015375 is an apocalyptic number.

428015375 is a deficient number, since it is larger than the sum of its proper divisors (167392945).

428015375 is a wasteful number, since it uses less digits than its factorization.

428015375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10652 (or 10642 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 428015375 is about 20688.5324515781. The cubic root of 428015375 is about 753.6212282091.

The spelling of 428015375 in words is "four hundred twenty-eight million, fifteen thousand, three hundred seventy-five".

Divisors: 1 5 17 19 25 85 95 125 323 425 475 1615 2125 2375 8075 10601 40375 53005 180217 201419 265025 901085 1007095 1325125 3424123 4505425 5035475 17120615 22527125 25177375 85603075 428015375