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2429028 = 22367217
BaseRepresentation
bin1001010001000001100100
311120102000000
421101001210
51110212103
6124021300
726434500
oct11210144
94512000
102429028
111409a68
12991830
136707c4
14473300
1532eaa3
hex251064

2429028 has 126 divisors (see below), whose sum is σ = 7849926. Its totient is φ = 653184.

The previous prime is 2429023. The next prime is 2429029. The reversal of 2429028 is 8209242.

It can be written as a sum of positive squares in only one way, i.e., 2286144 + 142884 = 1512^2 + 378^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2428992 and 2429010.

It is not an unprimeable number, because it can be changed into a prime (2429023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 142876 + ... + 142892.

It is an arithmetic number, because the mean of its divisors is an integer number (62301).

22429028 is an apocalyptic number.

2429028 is a gapful number since it is divisible by the number (28) 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 2429028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924963).

2429028 is an abundant number, since it is smaller than the sum of its proper divisors (5420898).

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

2429028 is a wasteful number, since it uses less digits than its factorization.

2429028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 29 counting only the distinct ones).

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

The square root of 2429028 is about 1558.5339264835. The cubic root of 2429028 is about 134.4242143871.

The spelling of 2429028 in words is "two million, four hundred twenty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 49 51 54 63 68 81 84 98 102 108 119 126 147 153 162 189 196 204 238 243 252 294 306 324 357 378 441 459 476 486 567 588 612 714 729 756 833 882 918 972 1071 1134 1323 1377 1428 1458 1666 1701 1764 1836 2142 2268 2499 2646 2754 2916 3213 3332 3402 3969 4131 4284 4998 5103 5292 5508 6426 6804 7497 7938 8262 9639 9996 10206 11907 12393 12852 14994 15876 16524 19278 20412 22491 23814 24786 28917 29988 35721 38556 44982 47628 49572 57834 67473 71442 86751 89964 115668 134946 142884 173502 202419 269892 347004 404838 607257 809676 1214514 2429028