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42066324 = 22332631481
BaseRepresentation
bin1010000001111…
…0000110010100
32221011012011000
42200132012110
541232110244
64101343300
71020362226
oct240360624
987135130
1042066324
1121822063
1212107b30
13893b221
145830416
153a5e169
hex281e194

42066324 has 48 divisors (see below), whose sum is σ = 109549440. Its totient is φ = 13959360.

The previous prime is 42066307. The next prime is 42066371. The reversal of 42066324 is 42366024.

42066324 is a `hidden beast` number, since 4 + 20 + 6 + 632 + 4 = 666.

It is a super-2 number, since 2×420663242 = 3539151229745952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27664 + ... + 29144.

It is an arithmetic number, because the mean of its divisors is an integer number (2282280).

Almost surely, 242066324 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 42066324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54774720).

42066324 is an abundant number, since it is smaller than the sum of its proper divisors (67483116).

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

42066324 is a wasteful number, since it uses less digits than its factorization.

42066324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 42066324 is about 6485.8556875712. The cubic root of 42066324 is about 347.7855396820.

The spelling of 42066324 in words is "forty-two million, sixty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 263 526 789 1052 1481 1578 2367 2962 3156 4443 4734 5924 7101 8886 9468 13329 14202 17772 26658 28404 39987 53316 79974 159948 389503 779006 1168509 1558012 2337018 3505527 4674036 7011054 10516581 14022108 21033162 42066324