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4576992 = 25373139
BaseRepresentation
bin10001011101011011100000
322121112110020
4101131123200
52132430432
6242033440
753622000
oct21353340
98545406
104576992
112646842
121648880
13c433a4
14872000
1560622c
hex45d6e0

4576992 has 96 divisors (see below), whose sum is σ = 14112000. Its totient is φ = 1298304.

The previous prime is 4576991. The next prime is 4576993. The reversal of 4576992 is 2996754.

It is an interprime number because it is at equal distance from previous prime (4576991) and next prime (4576993).

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4576991) 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, 32859 + ... + 32997.

It is an arithmetic number, because the mean of its divisors is an integer number (147000).

Almost surely, 24576992 is an apocalyptic number.

4576992 is a gapful number since it is divisible by the number (42) 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 4576992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056000).

4576992 is an abundant number, since it is smaller than the sum of its proper divisors (9535008).

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

4576992 is a wasteful number, since it uses less digits than its factorization.

4576992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 4576992 is about 2139.3905674280. The cubic root of 4576992 is about 166.0326059723.

The spelling of 4576992 in words is "four million, five hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 139 147 168 196 224 278 294 336 343 392 417 556 588 672 686 784 834 973 1029 1112 1176 1372 1568 1668 1946 2058 2224 2352 2744 2919 3336 3892 4116 4448 4704 5488 5838 6672 6811 7784 8232 10976 11676 13344 13622 15568 16464 20433 23352 27244 31136 32928 40866 46704 47677 54488 81732 93408 95354 108976 143031 163464 190708 217952 286062 326928 381416 572124 653856 762832 1144248 1525664 2288496 4576992