Search a number
-
+
42533436 = 2231132663
BaseRepresentation
bin1010001001000…
…0001000111100
32222000220220110
42202100020330
541342032221
64115350020
71024346121
oct242201074
988026813
1042533436
1122011000
12122b2310
138a72a1a
145912748
153b02776
hex289023c

42533436 has 48 divisors (see below), whose sum is σ = 109202688. Its totient is φ = 12884080.

The previous prime is 42533429. The next prime is 42533467. The reversal of 42533436 is 63433524.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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, 14641 + ... + 17303.

It is an arithmetic number, because the mean of its divisors is an integer number (2275056).

Almost surely, 242533436 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 42533436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54601344).

42533436 is an abundant number, since it is smaller than the sum of its proper divisors (66669252).

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

42533436 is a wasteful number, since it uses less digits than its factorization.

42533436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2679 counting only the distinct ones).

The product of its digits is 25920, while the sum is 30.

The square root of 42533436 is about 6521.7663251607. The cubic root of 42533436 is about 349.0680950753.

The spelling of 42533436 in words is "forty-two million, five hundred thirty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1331 1452 2662 2663 3993 5324 5326 7986 7989 10652 15972 15978 29293 31956 58586 87879 117172 175758 322223 351516 644446 966669 1288892 1933338 3544453 3866676 7088906 10633359 14177812 21266718 42533436