Search a number
-
+
42286380 = 2235672157
BaseRepresentation
bin1010000101001…
…1110100101100
32221120101000020
42201103310230
541311131010
64110202140
71022266623
oct241236454
987511006
1042286380
1121962424
12121b3350
1389b7436
14588a6ba
153aa4470
hex2853d2c

42286380 has 72 divisors (see below), whose sum is σ = 120961008. Its totient is φ = 11037312.

The previous prime is 42286357. The next prime is 42286399. The reversal of 42286380 is 8368224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269262 + ... + 269418.

It is an arithmetic number, because the mean of its divisors is an integer number (1680014).

Almost surely, 242286380 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 42286380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480504).

42286380 is an abundant number, since it is smaller than the sum of its proper divisors (78674628).

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

42286380 is a wasteful number, since it uses less digits than its factorization.

42286380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 42286380 is about 6502.7978593833. The cubic root of 42286380 is about 348.3909267854.

The spelling of 42286380 in words is "forty-two million, two hundred eighty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 157 201 268 314 335 402 471 628 670 785 804 942 1005 1340 1570 1884 2010 2355 3140 4020 4489 4710 8978 9420 10519 13467 17956 21038 22445 26934 31557 42076 44890 52595 53868 63114 67335 89780 105190 126228 134670 157785 210380 269340 315570 631140 704773 1409546 2114319 2819092 3523865 4228638 7047730 8457276 10571595 14095460 21143190 42286380