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790272 = 283273
BaseRepresentation
bin11000000111100000000
31111011001100
43000330000
5200242042
624534400
76501000
oct3007400
91434040
10790272
1149a81a
12321400
13218922
14168000
1510924c
hexc0f00

790272 has 108 divisors (see below), whose sum is σ = 2657200. Its totient is φ = 225792.

The previous prime is 790271. The next prime is 790277. The reversal of 790272 is 272097.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112893 + ... + 112899.

2790272 is an apocalyptic number.

790272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328600).

790272 is an abundant number, since it is smaller than the sum of its proper divisors (1866928).

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

790272 is an equidigital number, since it uses as much as digits as its factorization.

790272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 790272 is about 888.9724405177. The cubic root of 790272 is about 92.4539629690.

The spelling of 790272 in words is "seven hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 343 384 392 441 448 504 576 588 672 686 768 784 882 896 1008 1029 1152 1176 1344 1372 1568 1764 1792 2016 2058 2304 2352 2688 2744 3087 3136 3528 4032 4116 4704 5376 5488 6174 6272 7056 8064 8232 9408 10976 12348 12544 14112 16128 16464 18816 21952 24696 28224 32928 37632 43904 49392 56448 65856 87808 98784 112896 131712 197568 263424 395136 790272