Search a number
-
+
33026742 = 2327614297
BaseRepresentation
bin111110111111…
…1001010110110
32022010221011200
41331333022312
531423323432
63135513330
7550502610
oct175771266
968127150
1033026742
1117708531
12b088846
136ac4868
144559db0
152d75a7c
hex1f7f2b6

33026742 has 48 divisors (see below), whose sum is σ = 83140512. Its totient is φ = 9279360.

The previous prime is 33026723. The next prime is 33026783. The reversal of 33026742 is 24762033.

It is a congruent number.

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, 5538 + ... + 9834.

It is an arithmetic number, because the mean of its divisors is an integer number (1732094).

Almost surely, 233026742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33026742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41570256).

33026742 is an abundant number, since it is smaller than the sum of its proper divisors (50113770).

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

33026742 is a wasteful number, since it uses less digits than its factorization.

33026742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 33026742 is about 5746.8897675177. The cubic root of 33026742 is about 320.8400519123.

Adding to 33026742 its reverse (24762033), we get a palindrome (57788775).

It can be divided in two parts, 330 and 26742, that added together give a palindrome (27072).

The spelling of 33026742 in words is "thirty-three million, twenty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 2562 3843 4297 7686 8594 12891 25782 30079 38673 60158 77346 90237 180474 262117 270711 524234 541422 786351 1572702 1834819 2359053 3669638 4718106 5504457 11008914 16513371 33026742