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290873025 = 34523792
BaseRepresentation
bin10001010101100…
…101111011000001
3202021022212210000
4101111211323001
51043430414100
644510230213
710131244212
oct2125457301
9667285700
10290873025
1113a210233
12814b5369
1348353721
142a8b9409
151a809900
hex11565ec1

290873025 has 45 divisors (see below), whose sum is σ = 540222771. Its totient is φ = 154722960.

The previous prime is 290873017. The next prime is 290873041. The reversal of 290873025 is 520378092.

It is a happy number.

The square root of 290873025 is 17055.

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

It can be written as a sum of positive squares in only one way, i.e., 104714289 + 186158736 = 10233^2 + 13644^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 290873025 - 23 = 290873017 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 767286 + ... + 767664.

Almost surely, 2290873025 is an apocalyptic number.

290873025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

290873025 is the 17055-th square number.

290873025 is the 8528-th centered octagonal number.

It is an amenable number.

290873025 is a deficient number, since it is larger than the sum of its proper divisors (249349746).

290873025 is an frugal number, since it uses more digits than its factorization.

290873025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 290873025 is about 662.5741414591.

Multiplying 290873025 by its sum of digits (36), we get a square (10471428900 = 1023302).

The spelling of 290873025 in words is "two hundred ninety million, eight hundred seventy-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 379 405 675 1137 1895 2025 3411 5685 9475 10233 17055 28425 30699 51165 85275 143641 153495 255825 430923 718205 767475 1292769 2154615 3591025 3878307 6463845 10773075 11634921 19391535 32319225 58174605 96957675 290873025