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42548352 = 2737111439
BaseRepresentation
bin1010001001001…
…1110010000000
32222001200100220
42202103302000
541343021402
64115543040
71024440450
oct242236200
988050326
1042548352
1122021230
12122baa80
138a79752
145917d60
153b06dbc
hex2893c80

42548352 has 128 divisors (see below), whose sum is σ = 141004800. Its totient is φ = 11043840.

The previous prime is 42548351. The next prime is 42548357. The reversal of 42548352 is 25384524.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42548351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28849 + ... + 30287.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 242548352 is an apocalyptic number.

42548352 is a gapful number since it is divisible by the number (42) 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 42548352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502400).

42548352 is an abundant number, since it is smaller than the sum of its proper divisors (98456448).

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

42548352 is a wasteful number, since it uses less digits than its factorization.

42548352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1462 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 42548352 is about 6522.9097801518. The cubic root of 42548352 is about 349.1088950645.

The spelling of 42548352 in words is "forty-two million, five hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1439 1848 2112 2464 2688 2878 3696 4224 4317 4928 5756 7392 8634 9856 10073 11512 14784 15829 17268 20146 23024 29568 30219 31658 34536 40292 46048 47487 60438 63316 69072 80584 92096 94974 110803 120876 126632 138144 161168 184192 189948 221606 241752 253264 276288 322336 332409 379896 443212 483504 506528 552576 644672 664818 759792 886424 967008 1013056 1289344 1329636 1519584 1772848 1934016 2026112 2659272 3039168 3545696 3868032 5318544 6078336 7091392 10637088 14182784 21274176 42548352