Search a number
-
+
42816752 = 2411673631
BaseRepresentation
bin1010001101010…
…1010011110000
32222120022112122
42203111103300
541430114002
64125413412
71026636116
oct243252360
988508478
1042816752
1122194950
121240a268
138b41974
145987ab6
153b5b6a2
hex28d54f0

42816752 has 40 divisors (see below), whose sum is σ = 91875072. Its totient is φ = 19166400.

The previous prime is 42816703. The next prime is 42816769. The reversal of 42816752 is 25761824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9977 + ... + 13607.

Almost surely, 242816752 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 42816752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45937536).

42816752 is an abundant number, since it is smaller than the sum of its proper divisors (49058320).

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

42816752 is a wasteful number, since it uses less digits than its factorization.

42816752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3711 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 42816752 is about 6543.4510772222. The cubic root of 42816752 is about 349.8414302106.

The spelling of 42816752 in words is "forty-two million, eight hundred sixteen thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 536 737 1072 1474 2948 3631 5896 7262 11792 14524 29048 39941 58096 79882 159764 243277 319528 486554 639056 973108 1946216 2676047 3892432 5352094 10704188 21408376 42816752