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418161601 = 114134
BaseRepresentation
bin11000111011001…
…010001111000001
31002010211210212201
4120323022033001
51324022132401
6105254353201
713235213014
oct3073121701
91063753781
10418161601
111a5050000
12b805b801
1368830000
143d77137b
1526a9eb01
hex18eca3c1

418161601 has 25 divisors (see below), whose sum is σ = 498304805. Its totient is φ = 350904840.

The previous prime is 418161599. The next prime is 418161613. The reversal of 418161601 is 106161814.

The square root of 418161601 is 20449.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 207331201 + 210830400 = 14399^2 + 14520^2 .

It is not a de Polignac number, because 418161601 - 21 = 418161599 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 418161601.

It is not an unprimeable number, because it can be changed into a prime (418161661) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 32166271 + ... + 32166283.

Almost surely, 2418161601 is an apocalyptic number.

418161601 is the 20449-th square number.

418161601 is the 10225-th centered octagonal number.

It is an amenable number.

418161601 is a deficient number, since it is larger than the sum of its proper divisors (80143204).

418161601 is an frugal number, since it uses more digits than its factorization.

418161601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The cubic root of 418161601 is about 747.7929790411.

The spelling of 418161601 in words is "four hundred eighteen million, one hundred sixty-one thousand, six hundred one".

Divisors: 1 11 13 121 143 169 1331 1573 1859 2197 14641 17303 20449 24167 28561 190333 224939 265837 314171 2474329 2924207 3455881 32166277 38014691 418161601