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42851424 = 25371121731
BaseRepresentation
bin1010001101110…
…1110001100000
32222122002002210
42203131301200
541432221144
64130242120
71030142160
oct243356140
988562083
1042851424
1122208a00
1212426340
138b54695
1459965a0
153b66ab9
hex28ddc60

42851424 has 288 divisors, whose sum is σ = 154441728. Its totient is φ = 10137600.

The previous prime is 42851387. The next prime is 42851443. The reversal of 42851424 is 42415824.

It is a junction number, because it is equal to n+sod(n) for n = 42851391 and 42851400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1382289 + ... + 1382319.

It is an arithmetic number, because the mean of its divisors is an integer number (536256).

Almost surely, 242851424 is an apocalyptic number.

42851424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42851424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220864).

42851424 is an abundant number, since it is smaller than the sum of its proper divisors (111590304).

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

42851424 is a wasteful number, since it uses less digits than its factorization.

42851424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 42851424 is about 6546.0999075786. The cubic root of 42851424 is about 349.9358358568.

Subtracting from 42851424 its reverse (42415824), we obtain a square (435600 = 6602).

The spelling of 42851424 in words is "forty-two million, eight hundred fifty-one thousand, four hundred twenty-four".