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42430432 = 2511149809
BaseRepresentation
bin1010000111011…
…0111111100000
32221211200121111
42201312333200
541330233212
64113233104
71023436612
oct241667740
987750544
1042430432
1121a50680
1212262794
138a37b85
1458c6db2
153ad1ea7
hex2876fe0

42430432 has 48 divisors (see below), whose sum is σ = 91854000. Its totient is φ = 19133440.

The previous prime is 42430429. The next prime is 42430457. The reversal of 42430432 is 23403424.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52044 + ... + 52852.

It is an arithmetic number, because the mean of its divisors is an integer number (1913625).

Almost surely, 242430432 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 42430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45927000).

42430432 is an abundant number, since it is smaller than the sum of its proper divisors (49423568).

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

42430432 is a wasteful number, since it uses less digits than its factorization.

42430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 42430432 is about 6513.8645979173. The cubic root of 42430432 is about 348.7860857733.

Adding to 42430432 its reverse (23403424), we get a palindrome (65833856).

The spelling of 42430432 in words is "forty-two million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 149 176 298 352 596 809 1192 1618 1639 2384 3236 3278 4768 6472 6556 8899 12944 13112 17798 25888 26224 35596 52448 71192 120541 142384 241082 284768 482164 964328 1325951 1928656 2651902 3857312 5303804 10607608 21215216 42430432