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42987780 = 22335117237
BaseRepresentation
bin1010001111111…
…1000100000100
32222220000011000
42203333010010
542001102110
64133213300
71031250543
oct243770404
988800130
1042987780
11222a13a0
1212491230
138ba1774
1459d015a
153b921c0
hex28ff104

42987780 has 96 divisors (see below), whose sum is σ = 145918080. Its totient is φ = 10419840.

The previous prime is 42987779. The next prime is 42987787. The reversal of 42987780 is 8778924.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (42987787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2322 + ... + 9558.

It is an arithmetic number, because the mean of its divisors is an integer number (1519980).

Almost surely, 242987780 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 42987780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72959040).

42987780 is an abundant number, since it is smaller than the sum of its proper divisors (102930300).

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

42987780 is a wasteful number, since it uses less digits than its factorization.

42987780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7266 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 42987780 is about 6556.5066918291. The cubic root of 42987780 is about 350.3066156663.

Subtracting from 42987780 its reverse (8778924), we obtain a triangular number (34208856 = T8271).

It can be divided in two parts, 429 and 87780, that added together give a square (88209 = 2972).

The spelling of 42987780 in words is "forty-two million, nine hundred eighty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 7237 14474 21711 28948 36185 43422 65133 72370 79607 86844 108555 130266 144740 159214 195399 217110 238821 260532 318428 325665 390798 398035 434220 477642 651330 716463 781596 796070 955284 976995 1194105 1302660 1432926 1592140 1953990 2149389 2388210 2865852 3582315 3907980 4298778 4776420 7164630 8597556 10746945 14329260 21493890 42987780