Search a number
-
+
42252150 = 23522337331
BaseRepresentation
bin1010000100101…
…1011101110110
32221111122001110
42201023131312
541304032100
64105335450
71022065053
oct241133566
987448043
1042252150
1121939736
1212197586
1389a4995
14587c02a
153a99250
hex284b776

42252150 has 96 divisors (see below), whose sum is σ = 112635648. Its totient is φ = 10454400.

The previous prime is 42252137. The next prime is 42252151. The reversal of 42252150 is 5125224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42252151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127485 + ... + 127815.

It is an arithmetic number, because the mean of its divisors is an integer number (1173288).

Almost surely, 242252150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42252150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56317824).

42252150 is an abundant number, since it is smaller than the sum of its proper divisors (70383498).

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

42252150 is a wasteful number, since it uses less digits than its factorization.

42252150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 42252150 is about 6500.1653825114. The cubic root of 42252150 is about 348.2968961884.

Adding to 42252150 its reverse (5125224), we get a palindrome (47377374).

The spelling of 42252150 in words is "forty-two million, two hundred fifty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 37 46 50 69 74 75 111 115 138 150 185 222 230 331 345 370 555 575 662 690 851 925 993 1110 1150 1655 1702 1725 1850 1986 2553 2775 3310 3450 4255 4965 5106 5550 7613 8275 8510 9930 12247 12765 15226 16550 21275 22839 24494 24825 25530 36741 38065 42550 45678 49650 61235 63825 73482 76130 114195 122470 127650 183705 190325 228390 281681 306175 367410 380650 563362 570975 612350 845043 918525 1141950 1408405 1690086 1837050 2816810 4225215 7042025 8450430 14084050 21126075 42252150