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42289344 = 263324473
BaseRepresentation
bin1010000101010…
…0100011000000
32221120112002000
42201110203000
541311224334
64110224000
71022311356
oct241244300
987515060
1042289344
1121964679
12121b5000
1389b88a6
14588b7d6
153aa5299
hex28548c0

42289344 has 56 divisors (see below), whose sum is σ = 124327920. Its totient is φ = 14095872.

The previous prime is 42289343. The next prime is 42289361. The reversal of 42289344 is 44398224.

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 junction number, because it is equal to n+sod(n) for n = 42289299 and 42289308.

It is not an unprimeable number, because it can be changed into a prime (42289343) 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, 10509 + ... + 13964.

Almost surely, 242289344 is an apocalyptic number.

It is an amenable number.

42289344 is an abundant number, since it is smaller than the sum of its proper divisors (82038576).

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

42289344 is a wasteful number, since it uses less digits than its factorization.

42289344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24494 (or 24478 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 42289344 is about 6503.0257572918. The cubic root of 42289344 is about 348.3990665740.

The spelling of 42289344 in words is "forty-two million, two hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 24473 48946 73419 97892 146838 195784 220257 293676 391568 440514 587352 660771 783136 881028 1174704 1321542 1566272 1762056 2349408 2643084 3524112 4698816 5286168 7048224 10572336 14096448 21144672 42289344