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42479872 = 281743227
BaseRepresentation
bin1010001000001…
…1000100000000
32221221012102121
42202003010000
541333323442
64114254024
71024034011
oct242030400
987835377
1042479872
1121a84836
1212287314
138a54526
1458db008
153ae1967
hex2883100

42479872 has 72 divisors (see below), whose sum is σ = 92274336. Its totient is φ = 19439616.

The previous prime is 42479863. The next prime is 42479887. The reversal of 42479872 is 27897424.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187023 + ... + 187249.

It is an arithmetic number, because the mean of its divisors is an integer number (1281588).

Almost surely, 242479872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42479872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46137168).

42479872 is an abundant number, since it is smaller than the sum of its proper divisors (49794464).

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

42479872 is a wasteful number, since it uses less digits than its factorization.

42479872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its digits is 225792, while the sum is 43.

The square root of 42479872 is about 6517.6584752501. The cubic root of 42479872 is about 348.9215018730.

The spelling of 42479872 in words is "forty-two million, four hundred seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 172 227 256 272 344 454 544 688 731 908 1088 1376 1462 1816 2176 2752 2924 3632 3859 4352 5504 5848 7264 7718 9761 11008 11696 14528 15436 19522 23392 29056 30872 39044 46784 58112 61744 78088 93568 123488 156176 165937 187136 246976 312352 331874 493952 624704 663748 987904 1249408 1327496 2498816 2654992 5309984 10619968 21239936 42479872