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42800967 = 34113397
BaseRepresentation
bin1010001101000…
…1011101000111
32222112111220000
42203101131013
541424112332
64125212343
71026542106
oct243213507
988474800
1042800967
1122184000
12124010b3
138b37721
14598203d
153b56b7c
hex28d1747

42800967 has 40 divisors (see below), whose sum is σ = 70503312. Its totient is φ = 25874640.

The previous prime is 42800909. The next prime is 42800993. The reversal of 42800967 is 76900824.

42800967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42800967 - 26 = 42800903 is a prime.

It is a super-2 number, since 2×428009672 = 3663845552270178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42800767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107613 + ... + 108009.

Almost surely, 242800967 is an apocalyptic number.

42800967 is a deficient number, since it is larger than the sum of its proper divisors (27702345).

42800967 is an equidigital number, since it uses as much as digits as its factorization.

42800967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 42800967 is about 6542.2447982325. The cubic root of 42800967 is about 349.7984335993.

The spelling of 42800967 in words is "forty-two million, eight hundred thousand, nine hundred sixty-seven".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 397 891 1089 1191 1331 3267 3573 3993 4367 9801 10719 11979 13101 32157 35937 39303 48037 107811 117909 144111 353727 432333 528407 1296999 1585221 3890997 4755663 14266989 42800967