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293425092 = 22344492017
BaseRepresentation
bin10001011111010…
…100111111000100
3202110010112120000
4101133110333010
51100104100332
645041041300
710162033512
oct2137247704
9673115500
10293425092
111406a3684
1282326230
1348a3821c
142ad814b2
151ab60b7c
hex117d4fc4

293425092 has 60 divisors (see below), whose sum is σ = 769160700. Its totient is φ = 97542144.

The previous prime is 293425091. The next prime is 293425129. The reversal of 293425092 is 290524392.

It can be written as a sum of positive squares in 2 ways, for example, as 216266436 + 77158656 = 14706^2 + 8784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (293425091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144468 + ... + 146484.

It is an arithmetic number, because the mean of its divisors is an integer number (12819345).

Almost surely, 2293425092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293425092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384580350).

293425092 is an abundant number, since it is smaller than the sum of its proper divisors (475735608).

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

293425092 is a wasteful number, since it uses less digits than its factorization.

293425092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 293425092 is about 17129.6553380388. The cubic root of 293425092 is about 664.5062700365.

The spelling of 293425092 in words is "two hundred ninety-three million, four hundred twenty-five thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 449 898 1347 1796 2017 2694 4034 4041 5388 6051 8068 8082 12102 12123 16164 18153 24204 24246 36306 36369 48492 54459 72612 72738 108918 145476 163377 217836 326754 653508 905633 1811266 2716899 3622532 5433798 8150697 10867596 16301394 24452091 32602788 48904182 73356273 97808364 146712546 293425092