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4242753 = 333137137
BaseRepresentation
bin10000001011110101000001
321222112222000
4100023311001
52041232003
6230534213
751030354
oct20136501
97875860
104242753
112438709
121507369
13b57208
147c629b
1558c1a3
hex40bd41

4242753 has 32 divisors (see below), whose sum is σ = 6712320. Its totient is φ = 2643840.

The previous prime is 4242751. The next prime is 4242761. The reversal of 4242753 is 3572424.

It is not a de Polignac number, because 4242753 - 21 = 4242751 is a prime.

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

It is a d-powerful number, because it can be written as 4 + 214 + 47 + 222 + 72 + 56 + 3 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4242751) 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, 30901 + ... + 31037.

It is an arithmetic number, because the mean of its divisors is an integer number (209760).

Almost surely, 24242753 is an apocalyptic number.

It is an amenable number.

4242753 is a deficient number, since it is larger than the sum of its proper divisors (2469567).

4242753 is a wasteful number, since it uses less digits than its factorization.

4242753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 4242753 is about 2059.7944072164. The cubic root of 4242753 is about 161.8884691863. Note that the first 3 decimals are identical.

The spelling of 4242753 in words is "four million, two hundred forty-two thousand, seven hundred fifty-three".

Divisors: 1 3 9 27 31 37 93 111 137 279 333 411 837 999 1147 1233 3441 3699 4247 5069 10323 12741 15207 30969 38223 45621 114669 136863 157139 471417 1414251 4242753