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42463296 = 263273721
BaseRepresentation
bin1010000111111…
…1000001000000
32221220100200200
42201333001000
541332311141
64114045200
71023634461
oct241770100
987810620
1042463296
1121a73337
1212279800
138a49b15
1458d4d68
153adbab6
hex287f040

42463296 has 42 divisors (see below), whose sum is σ = 121715022. Its totient is φ = 14154240.

The previous prime is 42463283. The next prime is 42463307. The reversal of 42463296 is 69236424.

It can be written as a sum of positive squares in only one way, i.e., 31809600 + 10653696 = 5640^2 + 3264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42463296.

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, 36285 + ... + 37436.

Almost surely, 242463296 is an apocalyptic number.

It is an amenable number.

42463296 is an abundant number, since it is smaller than the sum of its proper divisors (79251726).

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

42463296 is a wasteful number, since it uses less digits than its factorization.

42463296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73739 (or 73726 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 42463296 is about 6516.3867288552. The cubic root of 42463296 is about 348.8761119429.

The spelling of 42463296 in words is "forty-two million, four hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 73721 147442 221163 294884 442326 589768 663489 884652 1179536 1326978 1769304 2359072 2653956 3538608 4718144 5307912 7077216 10615824 14154432 21231648 42463296