Search a number
-
+
42014208 = 293171609
BaseRepresentation
bin1010000001000…
…1011000000000
32221001112122210
42200101120000
541223423313
64100302120
71020054255
oct240213000
987045583
1042014208
1121796995
12120a1940
1389205a2
14581942c
153a4d9c3
hex2811600

42014208 has 80 divisors (see below), whose sum is σ = 118586160. Its totient is φ = 13172736.

The previous prime is 42014197. The next prime is 42014209. The reversal of 42014208 is 80241024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42014209) 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, 25308 + ... + 26916.

It is an arithmetic number, because the mean of its divisors is an integer number (1482327).

Almost surely, 242014208 is an apocalyptic number.

42014208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59293080).

42014208 is an abundant number, since it is smaller than the sum of its proper divisors (76571952).

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

42014208 is a wasteful number, since it uses less digits than its factorization.

42014208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42014208 is about 6481.8367767169. The cubic root of 42014208 is about 347.6418564082.

The spelling of 42014208 in words is "forty-two million, fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1609 1632 2176 3218 3264 4352 4827 6436 6528 8704 9654 12872 13056 19308 25744 26112 27353 38616 51488 54706 77232 82059 102976 109412 154464 164118 205952 218824 308928 328236 411904 437648 617856 656472 823808 875296 1235712 1312944 1750592 2471424 2625888 3501184 5251776 7002368 10503552 14004736 21007104 42014208