Search a number
-
+
42409350 = 23252731291
BaseRepresentation
bin1010000111000…
…1110110000110
32221210121200200
42201301312012
541324044400
64112551330
71023321264
oct241616606
987717620
1042409350
1121a36855
1212252546
138a2b3b9
1458bd434
153acab00
hex2871d86

42409350 has 72 divisors (see below), whose sum is σ = 115590072. Its totient is φ = 11145600.

The previous prime is 42409337. The next prime is 42409357. The reversal of 42409350 is 5390424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42409357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32205 + ... + 33495.

Almost surely, 242409350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42409350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57795036).

42409350 is an abundant number, since it is smaller than the sum of its proper divisors (73180722).

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

42409350 is a wasteful number, since it uses less digits than its factorization.

42409350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42409350 is about 6512.2461562813. The cubic root of 42409350 is about 348.7283102093.

Adding to 42409350 its reverse (5390424), we get a palindrome (47799774).

The spelling of 42409350 in words is "forty-two million, four hundred nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 146 150 219 225 365 438 450 657 730 1095 1291 1314 1825 2190 2582 3285 3650 3873 5475 6455 6570 7746 10950 11619 12910 16425 19365 23238 32275 32850 38730 58095 64550 94243 96825 116190 188486 193650 282729 290475 471215 565458 580950 848187 942430 1413645 1696374 2356075 2827290 4240935 4712150 7068225 8481870 14136450 21204675 42409350