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2924928 = 27322539
BaseRepresentation
bin1011001010000110000000
312111121020200
423022012000
51222044203
6142405200
733601326
oct13120600
95447220
102924928
1117185a6
12b90800
137b5436
14561d16
153cb9a3
hex2ca180

2924928 has 48 divisors (see below), whose sum is σ = 8420100. Its totient is φ = 974592.

The previous prime is 2924927. The next prime is 2924939. The reversal of 2924928 is 8294292.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 2924892 and 2924901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2924921) 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 5 ways as a sum of consecutive naturals, for example, 118 + ... + 2421.

22924928 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 2924928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210050).

2924928 is an abundant number, since it is smaller than the sum of its proper divisors (5495172).

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

2924928 is a wasteful number, since it uses less digits than its factorization.

2924928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2544 counting only the distinct ones).

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

The square root of 2924928 is about 1710.2420881267. The cubic root of 2924928 is about 143.0117518501.

The spelling of 2924928 in words is "two million, nine hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2539 5078 7617 10156 15234 20312 22851 30468 40624 45702 60936 81248 91404 121872 162496 182808 243744 324992 365616 487488 731232 974976 1462464 2924928