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293248992 = 2534371039
BaseRepresentation
bin10001011110101…
…001111111100000
3202102210120222210
4101132221333200
51100032431432
645033202120
710160401221
oct2136517740
9672716883
10293248992
11140593343
1282260340
13489a601a
142ad37248
151ab288cc
hex117a9fe0

293248992 has 48 divisors (see below), whose sum is σ = 787691520. Its totient is φ = 95475072.

The previous prime is 293248981. The next prime is 293248993. The reversal of 293248992 is 299842392.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293248993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31392 + ... + 39647.

It is an arithmetic number, because the mean of its divisors is an integer number (16410240).

Almost surely, 2293248992 is an apocalyptic number.

It is an amenable number.

293248992 is an abundant number, since it is smaller than the sum of its proper divisors (494442528).

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

293248992 is a wasteful number, since it uses less digits than its factorization.

293248992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71095 (or 71087 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 293248992 is about 17124.5143580774. The cubic root of 293248992 is about 664.3733082516.

The spelling of 293248992 in words is "two hundred ninety-three million, two hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 71039 142078 213117 284156 426234 568312 852468 1136624 1704936 2273248 3054677 3409872 6109354 6819744 9164031 12218708 18328062 24437416 36656124 48874832 73312248 97749664 146624496 293248992