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4292420 = 22511109179
BaseRepresentation
bin10000010111111101000100
322002002002112
4100113331010
52044324140
6232000152
751325226
oct20277504
98062075
104292420
112471a60
121530058
13b739c2
147da416
1559bc65
hex417f44

4292420 has 48 divisors (see below), whose sum is σ = 9979200. Its totient is φ = 1537920.

The previous prime is 4292419. The next prime is 4292437. The reversal of 4292420 is 242924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23891 + ... + 24069.

It is an arithmetic number, because the mean of its divisors is an integer number (207900).

Almost surely, 24292420 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 4292420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989600).

4292420 is an abundant number, since it is smaller than the sum of its proper divisors (5686780).

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

4292420 is a wasteful number, since it uses less digits than its factorization.

4292420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4292420 is about 2071.8156288628. The cubic root of 4292420 is about 162.5177258770.

The spelling of 4292420 in words is "four million, two hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 179 218 220 358 436 545 716 895 1090 1199 1790 1969 2180 2398 3580 3938 4796 5995 7876 9845 11990 19511 19690 23980 39022 39380 78044 97555 195110 214621 390220 429242 858484 1073105 2146210 4292420