Search a number
-
+
2029248 = 263213271
BaseRepresentation
bin111101111011011000000
310211002121100
413233123000
51004413443
6111254400
723151114
oct7573300
93732540
102029248
111166671
1281a400
13560850
143ab744
152a13d3
hex1ef6c0

2029248 has 84 divisors (see below), whose sum is σ = 6287008. Its totient is φ = 622080.

The previous prime is 2029243. The next prime is 2029249. The reversal of 2029248 is 8429202.

It is not an unprimeable number, because it can be changed into a prime (2029241) 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, 7353 + ... + 7623.

22029248 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 2029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143504).

2029248 is an abundant number, since it is smaller than the sum of its proper divisors (4257760).

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

2029248 is a wasteful number, since it uses less digits than its factorization.

2029248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2029248 is about 1424.5167601682. The cubic root of 2029248 is about 126.6033047212.

The spelling of 2029248 in words is "two million, twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 271 288 312 416 468 542 576 624 813 832 936 1084 1248 1626 1872 2168 2439 2496 3252 3523 3744 4336 4878 6504 7046 7488 8672 9756 10569 13008 14092 17344 19512 21138 26016 28184 31707 39024 42276 52032 56368 63414 78048 84552 112736 126828 156096 169104 225472 253656 338208 507312 676416 1014624 2029248