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42525696 = 2103109127
BaseRepresentation
bin1010001000111…
…0010000000000
32222000112021210
42202032100000
541341310241
64115250120
71024314423
oct242162000
988015253
1042525696
1122006204
12122a9940
138a6c345
14590d9ba
153b00316
hex288e400

42525696 has 88 divisors (see below), whose sum is σ = 115287040. Its totient is φ = 13934592.

The previous prime is 42525683. The next prime is 42525701. The reversal of 42525696 is 69652524.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334785 + ... + 334911.

It is an arithmetic number, because the mean of its divisors is an integer number (1310080).

Almost surely, 242525696 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 42525696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57643520).

42525696 is an abundant number, since it is smaller than the sum of its proper divisors (72761344).

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

42525696 is a wasteful number, since it uses less digits than its factorization.

42525696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 42525696 is about 6521.1729006368. The cubic root of 42525696 is about 349.0469199622.

The spelling of 42525696 in words is "forty-two million, five hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 127 128 192 218 254 256 327 381 384 436 508 512 654 762 768 872 1016 1024 1308 1524 1536 1744 2032 2616 3048 3072 3488 4064 5232 6096 6976 8128 10464 12192 13843 13952 16256 20928 24384 27686 27904 32512 41529 41856 48768 55372 55808 65024 83058 83712 97536 110744 111616 130048 166116 167424 195072 221488 332232 334848 390144 442976 664464 885952 1328928 1771904 2657856 3543808 5315712 7087616 10631424 14175232 21262848 42525696