Search a number
-
+
42049704 = 23317234481
BaseRepresentation
bin1010000001101…
…0000010101000
32221010100100110
42200122002220
541231042304
64101134320
71020262614
oct240320250
987110313
1042049704
1121810624
12120ba3a0
1389337a8
145828344
153a59289
hex281a0a8

42049704 has 64 divisors (see below), whose sum is σ = 116173440. Its totient is φ = 12615680.

The previous prime is 42049703. The next prime is 42049747. The reversal of 42049704 is 40794024.

It is not an unprimeable number, because it can be changed into a prime (42049703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7144 + ... + 11624.

It is an arithmetic number, because the mean of its divisors is an integer number (1815210).

Almost surely, 242049704 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 42049704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58086720).

42049704 is an abundant number, since it is smaller than the sum of its proper divisors (74123736).

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

42049704 is a wasteful number, since it uses less digits than its factorization.

42049704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42049704 is about 6484.5743113947. The cubic root of 42049704 is about 347.7397314081.

The spelling of 42049704 in words is "forty-two million, forty-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3128 4481 4692 8962 9384 13443 17924 26886 35848 53772 76177 103063 107544 152354 206126 228531 304708 309189 412252 457062 609416 618378 824504 914124 1236756 1752071 1828248 2473512 3504142 5256213 7008284 10512426 14016568 21024852 42049704