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293269248 = 283414143
BaseRepresentation
bin10001011110101…
…110111100000000
3202102211121210000
4101132232330000
51100034103443
645033440000
710160514246
oct2136567400
9672747700
10293269248
111405a7588
1282270000
13489b22cc
142ad40796
151ab2e8d3
hex117aef00

293269248 has 90 divisors (see below), whose sum is σ = 874537664. Its totient is φ = 97749504.

The previous prime is 293269247. The next prime is 293269253. The reversal of 293269248 is 842962392.

293269248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293269241) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13665 + ... + 27807.

Almost surely, 2293269248 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 293269248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437268832).

293269248 is an abundant number, since it is smaller than the sum of its proper divisors (581268416).

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

293269248 is an equidigital number, since it uses as much as digits as its factorization.

293269248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14171 (or 14148 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 293269248 is about 17125.1057806952. The cubic root of 293269248 is about 664.3886049634.

Adding to 293269248 its product of digits (373248), we get a square (293642496 = 171362).

The spelling of 293269248 in words is "two hundred ninety-three million, two hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 14143 20736 28286 42429 56572 84858 113144 127287 169716 226288 254574 339432 381861 452576 509148 678864 763722 905152 1018296 1145583 1357728 1527444 1810304 2036592 2291166 2715456 3054888 3620608 4073184 4582332 5430912 6109776 8146368 9164664 10861824 12219552 16292736 18329328 24439104 32585472 36658656 48878208 73317312 97756416 146634624 293269248