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2429952 = 21037113
BaseRepresentation
bin1001010001010000000000
311120110021020
421101100000
51110224302
6124025440
726440260
oct11212000
94513236
102429952
11140a728
12992280
13671055
144737a0
1532eebc
hex251400

2429952 has 88 divisors (see below), whose sum is σ = 7467456. Its totient is φ = 688128.

The previous prime is 2429941. The next prime is 2429953. The reversal of 2429952 is 2599242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21448 + ... + 21560.

22429952 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 2429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733728).

2429952 is an abundant number, since it is smaller than the sum of its proper divisors (5037504).

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

2429952 is a wasteful number, since it uses less digits than its factorization.

2429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 2429952 is about 1558.8303307288. The cubic root of 2429952 is about 134.4412571751.

The spelling of 2429952 in words is "two million, four hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 128 168 192 224 226 256 336 339 384 448 452 512 672 678 768 791 896 904 1024 1344 1356 1536 1582 1792 1808 2373 2688 2712 3072 3164 3584 3616 4746 5376 5424 6328 7168 7232 9492 10752 10848 12656 14464 18984 21504 21696 25312 28928 37968 43392 50624 57856 75936 86784 101248 115712 151872 173568 202496 303744 347136 404992 607488 809984 1214976 2429952