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2930592 = 2537389
BaseRepresentation
bin1011001011011110100000
312111220000110
423023132200
51222234332
6142451320
733624000
oct13133640
95456013
102930592
111721885
12b93b40
137b7ba2
14564000
153cd4cc
hex2cb7a0

2930592 has 96 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 827904.

The previous prime is 2930563. The next prime is 2930593. The reversal of 2930592 is 2950392.

2930592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2930593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32884 + ... + 32972.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

22930592 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 2930592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

2930592 is an abundant number, since it is smaller than the sum of its proper divisors (6141408).

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

2930592 is an equidigital number, since it uses as much as digits as its factorization.

2930592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 2930592 is about 1711.8971931749. The cubic root of 2930592 is about 143.1040044080.

The spelling of 2930592 in words is "two million, nine hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 89 96 98 112 147 168 178 196 224 267 294 336 343 356 392 534 588 623 672 686 712 784 1029 1068 1176 1246 1372 1424 1568 1869 2058 2136 2352 2492 2744 2848 3738 4116 4272 4361 4704 4984 5488 7476 8232 8544 8722 9968 10976 13083 14952 16464 17444 19936 26166 29904 30527 32928 34888 52332 59808 61054 69776 91581 104664 122108 139552 183162 209328 244216 366324 418656 488432 732648 976864 1465296 2930592