Search a number
-
+
293141052 = 223310725367
BaseRepresentation
bin10001011110001…
…111101000111100
3202102121002221000
4101132033220330
51100021003202
645031010300
710156441431
oct2136175074
9672532830
10293141052
1114051a236
1282209990
1348968b59
142ad09b88
151ab0691c
hex1178fa3c

293141052 has 48 divisors (see below), whose sum is σ = 767128320. Its totient is φ = 96796656.

The previous prime is 293141033. The next prime is 293141059. The reversal of 293141052 is 250141392.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293141059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128 + ... + 24239.

It is an arithmetic number, because the mean of its divisors is an integer number (15981840).

Almost surely, 2293141052 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 293141052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383564160).

293141052 is an abundant number, since it is smaller than the sum of its proper divisors (473987268).

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

293141052 is a wasteful number, since it uses less digits than its factorization.

293141052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25487 (or 25479 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 293141052 is about 17121.3624457868. The cubic root of 293141052 is about 664.2917833844.

The spelling of 293141052 in words is "two hundred ninety-three million, one hundred forty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2889 3852 5778 11556 25367 50734 76101 101468 152202 228303 304404 456606 684909 913212 1369818 2714269 2739636 5428538 8142807 10857076 16285614 24428421 32571228 48856842 73285263 97713684 146570526 293141052