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42932096 = 2719127139
BaseRepresentation
bin1010001111000…
…1011110000000
32222210011202122
42203301132000
541442311341
64132103412
71030626314
oct243613600
988704678
1042932096
1122263579
1212464b68
138b8230c
1459b7b44
153b8094b
hex28f1780

42932096 has 64 divisors (see below), whose sum is σ = 91392000. Its totient is φ = 20030976.

The previous prime is 42932083. The next prime is 42932111. The reversal of 42932096 is 69023924.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308795 + ... + 308933.

It is an arithmetic number, because the mean of its divisors is an integer number (1428000).

Almost surely, 242932096 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 42932096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696000).

42932096 is an abundant number, since it is smaller than the sum of its proper divisors (48459904).

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

42932096 is a wasteful number, since it uses less digits than its factorization.

42932096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 42932096 is about 6552.2588471458. The cubic root of 42932096 is about 350.1552943513.

The spelling of 42932096 in words is "forty-two million, nine hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 127 128 139 152 254 278 304 508 556 608 1016 1112 1216 2032 2224 2413 2432 2641 4064 4448 4826 5282 8128 8896 9652 10564 16256 17653 17792 19304 21128 35306 38608 42256 70612 77216 84512 141224 154432 169024 282448 308864 335407 338048 564896 670814 1129792 1341628 2259584 2683256 5366512 10733024 21466048 42932096