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42176064 = 263724483
BaseRepresentation
bin1010000011100…
…0111001000000
32221100202200110
42200320321000
541244113224
64103551320
71021330200
oct240707100
987322613
1042176064
1121897557
121215b540
138979168
14585c400
153a81929
hex2838e40

42176064 has 84 divisors (see below), whose sum is σ = 129838704. Its totient is φ = 12047616.

The previous prime is 42176039. The next prime is 42176081. The reversal of 42176064 is 46067124.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7167 + ... + 11649.

Almost surely, 242176064 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 42176064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64919352).

42176064 is an abundant number, since it is smaller than the sum of its proper divisors (87662640).

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

42176064 is a wasteful number, since it uses less digits than its factorization.

42176064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42176064 is about 6494.3101250248. The cubic root of 42176064 is about 348.0877041465.

The spelling of 42176064 in words is "forty-two million, one hundred seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4483 4704 8966 9408 13449 17932 26898 31381 35864 53796 62762 71728 94143 107592 125524 143456 188286 215184 219667 251048 286912 376572 430368 439334 502096 659001 753144 860736 878668 1004192 1318002 1506288 1757336 2008384 2636004 3012576 3514672 5272008 6025152 7029344 10544016 14058688 21088032 42176064