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2429392 = 247109199
BaseRepresentation
bin1001010001000111010000
311120102111111
421101013100
51110220032
6124023104
726435530
oct11210720
94512444
102429392
11140a269
12991a94
13670a14
144734c0
1532ec47
hex2511d0

2429392 has 40 divisors (see below), whose sum is σ = 5456000. Its totient is φ = 1026432.

The previous prime is 2429381. The next prime is 2429393. The reversal of 2429392 is 2939242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12109 + ... + 12307.

It is an arithmetic number, because the mean of its divisors is an integer number (136400).

22429392 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 2429392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728000).

2429392 is an abundant number, since it is smaller than the sum of its proper divisors (3026608).

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

2429392 is a wasteful number, since it uses less digits than its factorization.

2429392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 2429392 is about 1558.6506985210. The cubic root of 2429392 is about 134.4309287286.

The spelling of 2429392 in words is "two million, four hundred twenty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 199 218 398 436 763 796 872 1393 1526 1592 1744 2786 3052 3184 5572 6104 11144 12208 21691 22288 43382 86764 151837 173528 303674 347056 607348 1214696 2429392