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42873728 = 271721961
BaseRepresentation
bin1010001110001…
…1001110000000
32222200012200212
42203203032000
541433424403
64130533252
71030264202
oct243431600
988605625
1042873728
1122223737
1212437228
138b61891
1459a0772
153b6d4d8
hex28e3380

42873728 has 96 divisors (see below), whose sum is σ = 97073400. Its totient is φ = 18800640.

The previous prime is 42873689. The next prime is 42873731. The reversal of 42873728 is 82737824.

Its product of digits (150528) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702818 + ... + 702878.

Almost surely, 242873728 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 42873728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48536700).

42873728 is an abundant number, since it is smaller than the sum of its proper divisors (54199672).

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

42873728 is a wasteful number, since it uses less digits than its factorization.

42873728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its digits is 150528, while the sum is 41.

The square root of 42873728 is about 6547.8032957626. The cubic root of 42873728 is about 349.9965387413.

The spelling of 42873728 in words is "forty-two million, eight hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 61 64 68 76 122 128 136 152 244 272 289 304 323 488 544 578 608 646 976 1037 1088 1156 1159 1216 1292 1952 2074 2176 2312 2318 2432 2584 3904 4148 4624 4636 5168 5491 7808 8296 9248 9272 10336 10982 16592 17629 18496 18544 19703 20672 21964 33184 35258 36992 37088 39406 41344 43928 66368 70516 74176 78812 87856 132736 141032 148352 157624 175712 282064 315248 334951 351424 564128 630496 669902 702848 1128256 1260992 1339804 2256512 2521984 2679608 5359216 10718432 21436864 42873728