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42012304 = 2417257601
BaseRepresentation
bin1010000001000…
…0111010010000
32221001110001021
42200100322100
541223343204
64100245224
71020045565
oct240207220
987043037
1042012304
1121795514
12120a0814
13891c769
14581886c
153a4d154
hex2810e90

42012304 has 40 divisors (see below), whose sum is σ = 86666328. Its totient is φ = 19660800.

The previous prime is 42012301. The next prime is 42012319. The reversal of 42012304 is 40321024.

It can be written as a sum of positive squares in 4 ways, for example, as 31899904 + 10112400 = 5648^2 + 3180^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (42012301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69604 + ... + 70204.

Almost surely, 242012304 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 42012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43333164).

42012304 is an abundant number, since it is smaller than the sum of its proper divisors (44654024).

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

42012304 is a wasteful number, since it uses less digits than its factorization.

42012304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42012304 is about 6481.6899031040. The cubic root of 42012304 is about 347.6366048506.

Adding to 42012304 its reverse (40321024), we get a palindrome (82333328).

The spelling of 42012304 in words is "forty-two million, twelve thousand, three hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 257 272 514 601 1028 1202 2056 2404 4112 4369 4808 8738 9616 10217 17476 20434 34952 40868 69904 81736 154457 163472 308914 617828 1235656 2471312 2625769 5251538 10503076 21006152 42012304