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4219072 = 261113461
BaseRepresentation
bin10000000110000011000000
321221100110221
4100012003000
52040002242
6230232424
750601334
oct20060300
97840427
104219072
112421940
1214b5714
13b494c0
147bb7c4
15585167
hex4060c0

4219072 has 56 divisors (see below), whose sum is σ = 9857232. Its totient is φ = 1766400.

The previous prime is 4219027. The next prime is 4219079. The reversal of 4219072 is 2709124.

It is not an unprimeable number, because it can be changed into a prime (4219079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8922 + ... + 9382.

It is an arithmetic number, because the mean of its divisors is an integer number (176022).

Almost surely, 24219072 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 4219072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928616).

4219072 is an abundant number, since it is smaller than the sum of its proper divisors (5638160).

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

4219072 is a wasteful number, since it uses less digits than its factorization.

4219072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 4219072 is about 2054.0379743325. The cubic root of 4219072 is about 161.5867126284.

The spelling of 4219072 in words is "four million, two hundred nineteen thousand, seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 461 572 704 832 922 1144 1844 2288 3688 4576 5071 5993 7376 9152 10142 11986 14752 20284 23972 29504 40568 47944 65923 81136 95888 131846 162272 191776 263692 324544 383552 527384 1054768 2109536 4219072