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42630048 = 2532148021
BaseRepresentation
bin1010001010011…
…1101110100000
32222012211102200
42202213232200
541403130143
64121413200
71025230566
oct242475640
988184380
1042630048
112207764a
121233a200
138aa79a6
145939a36
153b211d3
hex28a7ba0

42630048 has 36 divisors (see below), whose sum is σ = 121230018. Its totient is φ = 14209920.

The previous prime is 42630019. The next prime is 42630083. The reversal of 42630048 is 84003624.

It can be written as a sum of positive squares in only one way, i.e., 30603024 + 12027024 = 5532^2 + 3468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73723 + ... + 74298.

Almost surely, 242630048 is an apocalyptic number.

42630048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42630048 is an abundant number, since it is smaller than the sum of its proper divisors (78599970).

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

42630048 is a wasteful number, since it uses less digits than its factorization.

42630048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148037 (or 148026 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42630048 is about 6529.1690129755. The cubic root of 42630048 is about 349.3321905575.

The spelling of 42630048 in words is "forty-two million, six hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 148021 296042 444063 592084 888126 1184168 1332189 1776252 2368336 2664378 3552504 4736672 5328756 7105008 10657512 14210016 21315024 42630048