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42034044 = 223132271187
BaseRepresentation
bin1010000001011…
…0001101111100
32221002112212110
42200112031330
541230042134
64100534020
71020166143
oct240261574
987075773
1042034044
11217aa888
12120b1310
138929620
14582275a
153a547e9
hex281637c

42034044 has 48 divisors (see below), whose sum is σ = 106178688. Its totient is φ = 12865728.

The previous prime is 42034039. The next prime is 42034051. The reversal of 42034044 is 44043024.

It is a self number, because there is not a number n which added to its sum of digits gives 42034044.

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, 34819 + ... + 36005.

It is an arithmetic number, because the mean of its divisors is an integer number (2212056).

Almost surely, 242034044 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 42034044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53089344).

42034044 is an abundant number, since it is smaller than the sum of its proper divisors (64144644).

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

42034044 is a wasteful number, since it uses less digits than its factorization.

42034044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 42034044 is about 6483.3667179946. The cubic root of 42034044 is about 347.6965580535.

Adding to 42034044 its reverse (44043024), we get a palindrome (86077068).

The spelling of 42034044 in words is "forty-two million, thirty-four thousand, forty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 227 454 681 908 1187 1362 2374 2724 2951 3561 4748 5902 7122 8853 11804 14244 15431 17706 30862 35412 46293 61724 92586 185172 269449 538898 808347 1077796 1616694 3233388 3502837 7005674 10508511 14011348 21017022 42034044