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42497448 = 23371311931
BaseRepresentation
bin1010001000011…
…1010110101000
32221222002112120
42202013112220
541334404243
64114511240
71024136160
oct242072650
987862476
1042497448
1121a96a64
1212295520
138a5c526
1459035a0
153ae6c83
hex28875a8

42497448 has 64 divisors (see below), whose sum is σ = 122411520. Its totient is φ = 12043200.

The previous prime is 42497417. The next prime is 42497453. The reversal of 42497448 is 84479424.

It is a happy number.

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

It is an unprimeable number.

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, 21043 + ... + 22973.

It is an arithmetic number, because the mean of its divisors is an integer number (1912680).

Almost surely, 242497448 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 42497448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61205760).

42497448 is an abundant number, since it is smaller than the sum of its proper divisors (79914072).

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

42497448 is a wasteful number, since it uses less digits than its factorization.

42497448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2074 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 42497448 is about 6519.0066727992. The cubic root of 42497448 is about 348.9696171994.

The spelling of 42497448 in words is "forty-two million, four hundred ninety-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 1048 1572 1834 1931 2751 3144 3668 3862 5502 5793 7336 7724 11004 11586 13517 15448 22008 23172 27034 40551 46344 54068 81102 108136 162204 252961 324408 505922 758883 1011844 1517766 1770727 2023688 3035532 3541454 5312181 6071064 7082908 10624362 14165816 21248724 42497448