Search a number
-
+
42748896 = 2534110861
BaseRepresentation
bin1010001100010…
…0101111100000
32222102212110110
42203010233200
541420431041
64124131320
71026234231
oct243045740
988385413
1042748896
1122148973
1212396b40
138b19b08
14596b088
153b46516
hex28c4be0

42748896 has 48 divisors (see below), whose sum is σ = 114963408. Its totient is φ = 13900800.

The previous prime is 42748891. The next prime is 42748903. The reversal of 42748896 is 69884724.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42748891) 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 7 ways as a sum of consecutive naturals, for example, 1495 + ... + 9366.

It is an arithmetic number, because the mean of its divisors is an integer number (2395071).

Almost surely, 242748896 is an apocalyptic number.

It is an amenable number.

42748896 is an abundant number, since it is smaller than the sum of its proper divisors (72214512).

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

42748896 is a wasteful number, since it uses less digits than its factorization.

42748896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10915 (or 10907 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 42748896 is about 6538.2639897759. The cubic root of 42748896 is about 349.6565228984.

The spelling of 42748896 in words is "forty-two million, seven hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 10861 21722 32583 43444 65166 86888 130332 173776 260664 347552 445301 521328 890602 1042656 1335903 1781204 2671806 3562408 5343612 7124816 10687224 14249632 21374448 42748896