Search a number
-
+
4249776 = 243294371
BaseRepresentation
bin10000001101100010110000
321222220121010
4100031202300
52041443101
6231030520
751060006
oct20154260
97886533
104249776
112442a13
12150b440
13b5a47b
147c8a76
1558e2d6
hex40d8b0

4249776 has 80 divisors (see below), whose sum is σ = 11784960. Its totient is φ = 1317120.

The previous prime is 4249769. The next prime is 4249789. The reversal of 4249776 is 6779424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59821 + ... + 59891.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

Almost surely, 24249776 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 4249776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892480).

4249776 is an abundant number, since it is smaller than the sum of its proper divisors (7535184).

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

4249776 is a wasteful number, since it uses less digits than its factorization.

4249776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 4249776 is about 2061.4984841130. The cubic root of 4249776 is about 161.9777442372.

The spelling of 4249776 in words is "four million, two hundred forty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 71 86 87 116 129 142 172 174 213 232 258 284 344 348 426 464 516 568 688 696 852 1032 1136 1247 1392 1704 2059 2064 2494 3053 3408 3741 4118 4988 6106 6177 7482 8236 9159 9976 12212 12354 14964 16472 18318 19952 24424 24708 29928 32944 36636 48848 49416 59856 73272 88537 98832 146544 177074 265611 354148 531222 708296 1062444 1416592 2124888 4249776