Search a number
-
+
42071456 = 257613079
BaseRepresentation
bin1010000001111…
…1010110100000
32221011110012002
42200133112200
541232241311
64101423132
71020413210
oct240372640
987143162
1042071456
11218259a9
121210aaa8
13894066b
145832240
153a6093b
hex281f5a0

42071456 has 48 divisors (see below), whose sum is σ = 96243840. Its totient is φ = 17729280.

The previous prime is 42071399. The next prime is 42071461. The reversal of 42071456 is 65417024.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12125 + ... + 15203.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 242071456 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 42071456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48121920).

42071456 is an abundant number, since it is smaller than the sum of its proper divisors (54172384).

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

42071456 is a wasteful number, since it uses less digits than its factorization.

42071456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 42071456 is about 6486.2513056464. The cubic root of 42071456 is about 347.7996821332.

The spelling of 42071456 in words is "forty-two million, seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 3079 3416 6158 6832 12316 13664 21553 24632 43106 49264 86212 98528 172424 187819 344848 375638 689696 751276 1314733 1502552 2629466 3005104 5258932 6010208 10517864 21035728 42071456