Search a number
-
+
42041148 = 22319238017
BaseRepresentation
bin1010000001011…
…1111100111100
32221002220121120
42200113330330
541230304043
64101030540
71020225642
oct240277474
987086546
1042041148
1121805156
12120b5450
13892c926
145825192
153a56983
hex2817f3c

42041148 has 48 divisors (see below), whose sum is σ = 107761920. Its totient is φ = 12697344.

The previous prime is 42041141. The next prime is 42041173. The reversal of 42041148 is 84114024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42041141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1236 + ... + 9252.

It is an arithmetic number, because the mean of its divisors is an integer number (2245040).

Almost surely, 242041148 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 42041148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53880960).

42041148 is an abundant number, since it is smaller than the sum of its proper divisors (65720772).

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

42041148 is a wasteful number, since it uses less digits than its factorization.

42041148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8066 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 42041148 is about 6483.9145583513. The cubic root of 42041148 is about 347.7161445361.

The spelling of 42041148 in words is "forty-two million, forty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 5244 8017 16034 24051 32068 48102 96204 152323 184391 304646 368782 456969 553173 609292 737564 913938 1106346 1827876 2212692 3503429 7006858 10510287 14013716 21020574 42041148