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42939648 = 283218637
BaseRepresentation
bin1010001111001…
…1010100000000
32222210120010100
42203303110000
541443032043
64132202400
71030660323
oct243632400
988716110
1042939648
1122269214
1212469400
138b8589b
1459ba7ba
153b82cd3
hex28f3500

42939648 has 54 divisors (see below), whose sum is σ = 123812234. Its totient is φ = 14312448.

The previous prime is 42939613. The next prime is 42939653. The reversal of 42939648 is 84693924.

It can be written as a sum of positive squares in only one way, i.e., 22581504 + 20358144 = 4752^2 + 4512^2 .

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

It is a congruent number.

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, 7015 + ... + 11622.

Almost surely, 242939648 is an apocalyptic number.

42939648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42939648 is an abundant number, since it is smaller than the sum of its proper divisors (80872586).

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

42939648 is a wasteful number, since it uses less digits than its factorization.

42939648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18659 (or 18642 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 42939648 is about 6552.8351116139. The cubic root of 42939648 is about 350.1758245839.

The spelling of 42939648 in words is "forty-two million, nine hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 18637 37274 55911 74548 111822 149096 167733 223644 298192 335466 447288 596384 670932 894576 1192768 1341864 1789152 2385536 2683728 3578304 4771072 5367456 7156608 10734912 14313216 21469824 42939648