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4430972 = 2272133747
BaseRepresentation
bin10000111001110001111100
322100010011002
4100321301330
52113242342
6234545432
752443200
oct20716174
98303132
104430972
112557067
121598278
13bc1aa0
14834b00
155c7d32
hex439c7c

4430972 has 72 divisors (see below), whose sum is σ = 10188864. Its totient is φ = 1669248.

The previous prime is 4430969. The next prime is 4431001. The reversal of 4430972 is 2790344.

4430972 is nontrivially palindromic in base 6.

4430972 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94253 + ... + 94299.

It is an arithmetic number, because the mean of its divisors is an integer number (141512).

Almost surely, 24430972 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 4430972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094432).

4430972 is an abundant number, since it is smaller than the sum of its proper divisors (5757892).

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

4430972 is a wasteful number, since it uses less digits than its factorization.

4430972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 4430972 is about 2104.9874108887. The cubic root of 4430972 is about 164.2478406168.

The spelling of 4430972 in words is "four million, four hundred thirty thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 37 47 49 52 74 91 94 98 148 182 188 196 259 329 364 481 518 611 637 658 962 1036 1222 1274 1316 1739 1813 1924 2303 2444 2548 3367 3478 3626 4277 4606 6734 6956 7252 8554 9212 12173 13468 17108 22607 23569 24346 29939 45214 47138 48692 59878 85211 90428 94276 119756 158249 170422 316498 340844 632996 1107743 2215486 4430972