Search a number
-
+
42950784 = 273373023
BaseRepresentation
bin1010001111011…
…0000010000000
32222211010101210
42203312002000
541443411114
64132330120
71031034642
oct243660200
988733353
1042950784
1122276618
1212473940
138b8a986
1459c0892
153b86259
hex28f6080

42950784 has 64 divisors (see below), whose sum is σ = 117210240. Its totient is φ = 13925376.

The previous prime is 42950783. The next prime is 42950797. The reversal of 42950784 is 48705924.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42950783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12697 + ... + 15719.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 242950784 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 42950784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

42950784 is an abundant number, since it is smaller than the sum of its proper divisors (74259456).

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

42950784 is a wasteful number, since it uses less digits than its factorization.

42950784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 42950784 is about 6553.6847650768. The cubic root of 42950784 is about 350.2060935863.

It can be divided in two parts, 42950 and 784, that added together give a palindrome (43734).

The spelling of 42950784 in words is "forty-two million, nine hundred fifty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3023 3552 4736 6046 7104 9069 12092 14208 18138 24184 36276 48368 72552 96736 111851 145104 193472 223702 290208 335553 386944 447404 580416 671106 894808 1160832 1342212 1789616 2684424 3579232 5368848 7158464 10737696 14316928 21475392 42950784