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42063504 = 2437235443
BaseRepresentation
bin1010000001110…
…1011010010000
32221011001021120
42200131122100
541232013004
64101322240
71020351060
oct240353220
987131246
1042063504
112181aa2a
1212106380
138939b62
14582d3a0
153a5d3d9
hex281d690

42063504 has 80 divisors (see below), whose sum is σ = 129610752. Its totient is φ = 11493504.

The previous prime is 42063467. The next prime is 42063509. The reversal of 42063504 is 40536024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42063509) 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, 5007 + ... + 10449.

Almost surely, 242063504 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 42063504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64805376).

42063504 is an abundant number, since it is smaller than the sum of its proper divisors (87547248).

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

42063504 is a wasteful number, since it uses less digits than its factorization.

42063504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42063504 is about 6485.6382877863. The cubic root of 42063504 is about 347.7777680090. Note that the first 4 decimals are identical.

Adding to 42063504 its reverse (40536024), we get a palindrome (82599528).

The spelling of 42063504 in words is "forty-two million, sixty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 5443 7728 10886 16329 21772 32658 38101 43544 65316 76202 87088 114303 125189 130632 152404 228606 250378 261264 304808 375567 457212 500756 609616 751134 876323 914424 1001512 1502268 1752646 1828848 2003024 2628969 3004536 3505292 5257938 6009072 7010584 10515876 14021168 21031752 42063504