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4387968 = 273213293
BaseRepresentation
bin10000101111010010000000
322020221011100
4100233102000
52110403333
6234014400
752203624
oct20572200
98227140
104387968
112527822
121577400
13ba8340
14823184
155ba213
hex42f480

4387968 has 96 divisors (see below), whose sum is σ = 13644540. Its totient is φ = 1345536.

The previous prime is 4387939. The next prime is 4387969. The reversal of 4387968 is 8697834.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 28224 = 2088^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4387969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14830 + ... + 15122.

Almost surely, 24387968 is an apocalyptic number.

4387968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822270).

4387968 is an abundant number, since it is smaller than the sum of its proper divisors (9256572).

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

4387968 is a wasteful number, since it uses less digits than its factorization.

4387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 4387968 is about 2094.7477175068. The cubic root of 4387968 is about 163.7147530143.

The spelling of 4387968 in words is "four million, three hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 293 312 384 416 468 576 586 624 832 879 936 1152 1172 1248 1664 1758 1872 2344 2496 2637 3516 3744 3809 4688 4992 5274 7032 7488 7618 9376 10548 11427 14064 14976 15236 18752 21096 22854 28128 30472 34281 37504 42192 45708 56256 60944 68562 84384 91416 112512 121888 137124 168768 182832 243776 274248 337536 365664 487552 548496 731328 1096992 1462656 2193984 4387968