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290493 = 3372953
BaseRepresentation
bin1000110111010111101
3112202111000
41012322331
533243433
610120513
72316630
oct1067275
9482430
10290493
11189285
12120139
13a22b8
1477c17
155b113
hex46ebd

290493 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 157248.

The previous prime is 290489. The next prime is 290497. The reversal of 290493 is 394092.

It is an interprime number because it is at equal distance from previous prime (290489) and next prime (290497).

It is not a de Polignac number, because 290493 - 22 = 290489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

290493 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5455 + ... + 5507.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2290493 is an apocalyptic number.

It is an amenable number.

290493 is a deficient number, since it is larger than the sum of its proper divisors (227907).

290493 is a wasteful number, since it uses less digits than its factorization.

290493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 290493 is about 538.9740253482. The cubic root of 290493 is about 66.2285465127.

It can be divided in two parts, 2904 and 93, that multiplied together give a palindrome (270072).

The spelling of 290493 in words is "two hundred ninety thousand, four hundred ninety-three".

Divisors: 1 3 7 9 21 27 29 53 63 87 159 189 203 261 371 477 609 783 1113 1431 1537 1827 3339 4611 5481 10017 10759 13833 32277 41499 96831 290493