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42987420 = 223257109313
BaseRepresentation
bin1010001111111…
…0111110011100
32222212222122200
42203332332130
542001044140
64133211500
71031246520
oct243767634
988788580
1042987420
11222a10a3
1212490b90
138ba1558
1459cdd80
153b92030
hex28fef9c

42987420 has 144 divisors (see below), whose sum is σ = 150870720. Its totient is φ = 9704448.

The previous prime is 42987403. The next prime is 42987431. The reversal of 42987420 is 2478924.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137184 + ... + 137496.

Almost surely, 242987420 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 42987420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75435360).

42987420 is an abundant number, since it is smaller than the sum of its proper divisors (107883300).

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

42987420 is a wasteful number, since it uses less digits than its factorization.

42987420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 42987420 is about 6556.4792381277. The cubic root of 42987420 is about 350.3056377858.

The spelling of 42987420 in words is "forty-two million, nine hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 109 126 140 180 210 218 252 313 315 327 420 436 545 626 630 654 763 939 981 1090 1252 1260 1308 1526 1565 1635 1878 1962 2180 2191 2289 2817 3052 3130 3270 3756 3815 3924 4382 4578 4695 4905 5634 6260 6540 6573 6867 7630 8764 9156 9390 9810 10955 11268 11445 13146 13734 14085 15260 18780 19620 19719 21910 22890 26292 27468 28170 32865 34117 34335 39438 43820 45780 56340 65730 68234 68670 78876 98595 102351 131460 136468 137340 170585 197190 204702 238819 307053 341170 394380 409404 477638 511755 614106 682340 716457 955276 1023510 1194095 1228212 1432914 1535265 2047020 2149371 2388190 2865828 3070530 3582285 4298742 4776380 6141060 7164570 8597484 10746855 14329140 21493710 42987420