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42525312 = 273591877
BaseRepresentation
bin1010001000111…
…0001010000000
32222000111202120
42202032022000
541341302222
64115244240
71024313334
oct242161200
988014676
1042525312
1122005995
12122a9680
138a6c10b
14590d7c4
153b0015c
hex288e280

42525312 has 64 divisors (see below), whose sum is σ = 114933600. Its totient is φ = 13927424.

The previous prime is 42525311. The next prime is 42525341. The reversal of 42525312 is 21352524.

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

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 (42525311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21718 + ... + 23594.

Almost surely, 242525312 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 42525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57466800).

42525312 is an abundant number, since it is smaller than the sum of its proper divisors (72408288).

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

42525312 is a wasteful number, since it uses less digits than its factorization.

42525312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1941 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 42525312 is about 6521.1434580141. The cubic root of 42525312 is about 349.0458693470.

Adding to 42525312 its reverse (21352524), we get a palindrome (63877836).

The spelling of 42525312 in words is "forty-two million, five hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 944 1416 1877 1888 2832 3754 3776 5631 5664 7508 7552 11262 11328 15016 22524 22656 30032 45048 60064 90096 110743 120128 180192 221486 240256 332229 360384 442972 664458 720768 885944 1328916 1771888 2657832 3543776 5315664 7087552 10631328 14175104 21262656 42525312