[go: up one dir, main page]

Search a number
-
+
42633150 = 23527192137
BaseRepresentation
bin1010001010100…
…0011110111110
32222012222200120
42202220132332
541403230100
64121435410
71025242620
oct242503676
988188616
1042633150
1122079a0a
121233bb66
138aa9221
14593ac10
153b220a0
hex28a87be

42633150 has 96 divisors (see below), whose sum is σ = 127253760. Its totient is φ = 9227520.

The previous prime is 42633133. The next prime is 42633181. The reversal of 42633150 is 5133624.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42633150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18882 + ... + 21018.

It is an arithmetic number, because the mean of its divisors is an integer number (1325560).

Almost surely, 242633150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42633150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63626880).

42633150 is an abundant number, since it is smaller than the sum of its proper divisors (84620610).

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

42633150 is a wasteful number, since it uses less digits than its factorization.

42633150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 42633150 is about 6529.4065580265. The cubic root of 42633150 is about 349.3406634714.

Adding to 42633150 its reverse (5133624), we get a palindrome (47766774).

The spelling of 42633150 in words is "forty-two million, six hundred thirty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 50 57 70 75 95 105 114 133 150 175 190 210 266 285 350 399 475 525 570 665 798 950 1050 1330 1425 1995 2137 2850 3325 3990 4274 6411 6650 9975 10685 12822 14959 19950 21370 29918 32055 40603 44877 53425 64110 74795 81206 89754 106850 121809 149590 160275 203015 224385 243618 284221 320550 373975 406030 448770 568442 609045 747950 852663 1015075 1121925 1218090 1421105 1705326 2030150 2243850 2842210 3045225 4263315 6090450 7105525 8526630 14211050 21316575 42633150