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42420384 = 2532147293
BaseRepresentation
bin1010000111010…
…0100010100000
32221211011211100
42201310202200
541324423014
64113114400
71023365406
oct241644240
987734740
1042420384
1121a44076
1212258a00
138a33426
1458c3476
153ace009
hex28748a0

42420384 has 36 divisors (see below), whose sum is σ = 120633786. Its totient is φ = 14140032.

The previous prime is 42420379. The next prime is 42420401. The reversal of 42420384 is 48302424.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 25280784 + 17139600 = 5028^2 + 4140^2 .

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, 73359 + ... + 73934.

Almost surely, 242420384 is an apocalyptic number.

It is an amenable number.

42420384 is an abundant number, since it is smaller than the sum of its proper divisors (78213402).

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

42420384 is a wasteful number, since it uses less digits than its factorization.

42420384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147309 (or 147298 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42420384 is about 6513.0932743206. The cubic root of 42420384 is about 348.7585514533.

The spelling of 42420384 in words is "forty-two million, four hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 147293 294586 441879 589172 883758 1178344 1325637 1767516 2356688 2651274 3535032 4713376 5302548 7070064 10605096 14140128 21210192 42420384