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4242288 = 243312851
BaseRepresentation
bin10000001011101101110000
321222112022210
4100023231300
52041223123
6230532120
751026121
oct20135560
97875283
104242288
112438326
121507040
13b56c3b
147c6048
1558be93
hex40bb70

4242288 has 40 divisors (see below), whose sum is σ = 11316736. Its totient is φ = 1368000.

The previous prime is 4242283. The next prime is 4242289. The reversal of 4242288 is 8822424.

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 (4242283) 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, 63 + ... + 2913.

Almost surely, 24242288 is an apocalyptic number.

4242288 is a gapful number since it is divisible by the number (48) 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 4242288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5658368).

4242288 is an abundant number, since it is smaller than the sum of its proper divisors (7074448).

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

4242288 is a wasteful number, since it uses less digits than its factorization.

4242288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2887 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 4242288 is about 2059.6815287806. The cubic root of 4242288 is about 161.8825547177.

The spelling of 4242288 in words is "four million, two hundred forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 2851 5702 8553 11404 17106 22808 34212 45616 68424 88381 136848 176762 265143 353524 530286 707048 1060572 1414096 2121144 4242288