Search a number
-
+
42646940 = 2257378233
BaseRepresentation
bin1010001010101…
…1110110011100
32222020200121022
42202223312130
541404200230
64122023312
71025331050
oct242536634
988220538
1042646940
1122089306
1212347b38
138ab259b
145941c60
153b261e5
hex28abd9c

42646940 has 48 divisors (see below), whose sum is σ = 105131712. Its totient is φ = 14224896.

The previous prime is 42646939. The next prime is 42646943. The reversal of 42646940 is 4964624.

It is a super-2 number, since 2×426469402 = 3637522982727200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 42646940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42646943) 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, 1064 + ... + 9296.

It is an arithmetic number, because the mean of its divisors is an integer number (2190244).

Almost surely, 242646940 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 42646940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52565856).

42646940 is an abundant number, since it is smaller than the sum of its proper divisors (62484772).

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

42646940 is a wasteful number, since it uses less digits than its factorization.

42646940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8286 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 42646940 is about 6530.4624644814. The cubic root of 42646940 is about 349.3783249972.

The spelling of 42646940 in words is "forty-two million, six hundred forty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 5180 8233 16466 32932 41165 57631 82330 115262 164660 230524 288155 304621 576310 609242 1152620 1218484 1523105 2132347 3046210 4264694 6092420 8529388 10661735 21323470 42646940