Search a number
-
+
42208440 = 23352111667
BaseRepresentation
bin1010000100000…
…0110010111000
32221102102002120
42201000302320
541301132230
64104401240
71021523451
oct241006270
987372076
1042208440
112190990a
1212176220
13898ab11
14586a128
153a8b310
hex2840cb8

42208440 has 64 divisors (see below), whose sum is σ = 127301760. Its totient is φ = 11195520.

The previous prime is 42208421. The next prime is 42208451. The reversal of 42208440 is 4480224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42208440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24487 + ... + 26153.

It is an arithmetic number, because the mean of its divisors is an integer number (1989090).

Almost surely, 242208440 is an apocalyptic number.

42208440 is a gapful number since it is divisible by the number (40) 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 42208440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63650880).

42208440 is an abundant number, since it is smaller than the sum of its proper divisors (85093320).

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

42208440 is a wasteful number, since it uses less digits than its factorization.

42208440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 42208440 is about 6496.8022903579. The cubic root of 42208440 is about 348.1767499542.

Adding to 42208440 its reverse (4480224), we get a palindrome (46688664).

The spelling of 42208440 in words is "forty-two million, two hundred eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 211 422 633 844 1055 1266 1667 1688 2110 2532 3165 3334 4220 5001 5064 6330 6668 8335 8440 10002 12660 13336 16670 20004 25005 25320 33340 40008 50010 66680 100020 200040 351737 703474 1055211 1406948 1758685 2110422 2813896 3517370 4220844 5276055 7034740 8441688 10552110 14069480 21104220 42208440