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2429928 = 233233749
BaseRepresentation
bin1001010001001111101000
311120110020100
421101033220
51110224203
6124025400
726440224
oct11211750
94513210
102429928
11140a706
12992260
13671037
14473784
1532eea3
hex2513e8

2429928 has 24 divisors (see below), whose sum is σ = 6581250. Its totient is φ = 809952.

The previous prime is 2429923. The next prime is 2429941. The reversal of 2429928 is 8299242.

It can be written as a sum of positive squares in only one way, i.e., 1542564 + 887364 = 1242^2 + 942^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2429892 and 2429901.

It is not an unprimeable number, because it can be changed into a prime (2429923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16803 + ... + 16946.

22429928 is an apocalyptic number.

It is an amenable number.

2429928 is an abundant number, since it is smaller than the sum of its proper divisors (4151322).

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

2429928 is a wasteful number, since it uses less digits than its factorization.

2429928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33761 (or 33754 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2429928 is about 1558.8226326302. The cubic root of 2429928 is about 134.4408145600.

The spelling of 2429928 in words is "two million, four hundred twenty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 33749 67498 101247 134996 202494 269992 303741 404988 607482 809976 1214964 2429928