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293970272 = 2531674423
BaseRepresentation
bin10001100001011…
…010000101100000
3202111011020101212
4101201122011200
51100224022042
645100445252
710166464121
oct2141320540
9674136355
10293970272
11140a36242
1282549828
1348b9940b
142b084048
151ac1c482
hex1185a160

293970272 has 48 divisors (see below), whose sum is σ = 606477312. Its totient is φ = 140088960.

The previous prime is 293970263. The next prime is 293970283. The reversal of 293970272 is 272079392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64253 + ... + 68675.

It is an arithmetic number, because the mean of its divisors is an integer number (12634944).

Almost surely, 2293970272 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 293970272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303238656).

293970272 is an abundant number, since it is smaller than the sum of its proper divisors (312507040).

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

293970272 is a wasteful number, since it uses less digits than its factorization.

293970272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 41.

The square root of 293970272 is about 17145.5612914830. The cubic root of 293970272 is about 664.9175634145.

The spelling of 293970272 in words is "two hundred ninety-three million, nine hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 67 124 134 248 268 496 536 992 1072 2077 2144 4154 4423 8308 8846 16616 17692 33232 35384 66464 70768 137113 141536 274226 296341 548452 592682 1096904 1185364 2193808 2370728 4387616 4741456 9186571 9482912 18373142 36746284 73492568 146985136 293970272