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401890625 = 5617289
BaseRepresentation
bin10111111101000…
…101110101000001
31001000020011021222
4113331011311001
51310341000000
6103513524425
712650004533
oct2775056501
91030204258
10401890625
11196947414
12b2713715
1365354006
143b537853
1525438a85
hex17f45d41

401890625 has 42 divisors (see below), whose sum is σ = 539641530. Its totient is φ = 299200000.

The previous prime is 401890597. The next prime is 401890637. The reversal of 401890625 is 526098104.

It can be written as a sum of positive squares in 21 ways, for example, as 239506576 + 162384049 = 15476^2 + 12743^2 .

It is not a de Polignac number, because 401890625 - 216 = 401825089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4515581 + ... + 4515669.

Almost surely, 2401890625 is an apocalyptic number.

It is an amenable number.

401890625 is a deficient number, since it is larger than the sum of its proper divisors (137750905).

401890625 is an frugal number, since it uses more digits than its factorization.

401890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 401890625 is about 20047.2099056203. The cubic root of 401890625 is about 737.9653292418.

The spelling of 401890625 in words is "four hundred one million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 89 125 289 425 445 625 1445 1513 2125 2225 3125 7225 7565 10625 11125 15625 25721 36125 37825 53125 55625 128605 180625 189125 265625 278125 643025 903125 945625 1390625 3215125 4515625 4728125 16075625 23640625 80378125 401890625