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293076992 = 2191343
BaseRepresentation
bin10001011110000…
…000000000000000
3202102110212001102
4101132000000000
51100011430432
645025353532
710156053605
oct2136000000
9672425042
10293076992
1114048609a
12821988a8
1348945950
142acd06ac
151aae2962
hex11780000

293076992 has 80 divisors (see below), whose sum is σ = 645922200. Its totient is φ = 132120576.

The previous prime is 293076947. The next prime is 293076997. The reversal of 293076992 is 299670392.

293076992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293076997) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6815723 + ... + 6815765.

Almost surely, 2293076992 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 293076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322961100).

293076992 is an abundant number, since it is smaller than the sum of its proper divisors (352845208).

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

293076992 is an frugal number, since it uses more digits than its factorization.

293076992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 47.

The square root of 293076992 is about 17119.4915812357. The cubic root of 293076992 is about 664.2433907175.

The spelling of 293076992 in words is "two hundred ninety-three million, seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 416 512 559 688 832 1024 1118 1376 1664 2048 2236 2752 3328 4096 4472 5504 6656 8192 8944 11008 13312 16384 17888 22016 26624 32768 35776 44032 53248 65536 71552 88064 106496 131072 143104 176128 212992 262144 286208 352256 425984 524288 572416 704512 851968 1144832 1409024 1703936 2289664 2818048 3407872 4579328 5636096 6815744 9158656 11272192 18317312 22544384 36634624 73269248 146538496 293076992