Search a number
-
+
42431664 = 2431180363
BaseRepresentation
bin1010000111011…
…1010010110000
32221211202022010
42201313102300
541330303124
64113242520
71023443322
oct241672260
987752263
1042431664
1121a515a0
1212263440
138a385c2
1458c7612
153ad2529
hex28774b0

42431664 has 40 divisors (see below), whose sum is σ = 119581632. Its totient is φ = 12857920.

The previous prime is 42431663. The next prime is 42431713. The reversal of 42431664 is 46613424.

It is a super-2 number, since 2×424316642 = 3600892219617792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42431663) 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, 39654 + ... + 40709.

Almost surely, 242431664 is an apocalyptic number.

42431664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42431664 is an abundant number, since it is smaller than the sum of its proper divisors (77149968).

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

42431664 is a wasteful number, since it uses less digits than its factorization.

42431664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80385 (or 80379 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 42431664 is about 6513.9591647477. The cubic root of 42431664 is about 348.7894614974.

The spelling of 42431664 in words is "forty-two million, four hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 80363 160726 241089 321452 482178 642904 883993 964356 1285808 1767986 1928712 2651979 3535972 3857424 5303958 7071944 10607916 14143888 21215832 42431664