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4242888 = 2333131511
BaseRepresentation
bin10000001011110111001000
321222120011000
4100023313020
52041233023
6230535000
751030636
oct20136710
97876130
104242888
112438821
121507460
13b572b0
147c6356
1558c243
hex40bdc8

4242888 has 64 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 1304640.

The previous prime is 4242883. The next prime is 4242893. The reversal of 4242888 is 8882424.

It is an interprime number because it is at equal distance from previous prime (4242883) and next prime (4242893).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (4242883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2053 + ... + 3563.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 24242888 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 4242888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

4242888 is an abundant number, since it is smaller than the sum of its proper divisors (8457912).

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

4242888 is a wasteful number, since it uses less digits than its factorization.

4242888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1529 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 4242888 is about 2059.8271772166. The cubic root of 4242888 is about 161.8901862091.

The spelling of 4242888 in words is "four million, two hundred forty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 1511 2808 3022 4533 6044 9066 12088 13599 18132 19643 27198 36264 39286 40797 54396 58929 78572 81594 108792 117858 157144 163188 176787 235716 326376 353574 471432 530361 707148 1060722 1414296 2121444 4242888