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42484500 = 2234531049
BaseRepresentation
bin1010001000010…
…0001100010100
32221221102210000
42202010030110
541334001000
64114331300
71024053342
oct242041424
987842700
1042484500
1121a88263
1212289b30
138a56676
1458dc992
153ae3000
hex2884314

42484500 has 120 divisors (see below), whose sum is σ = 138738600. Its totient is φ = 11318400.

The previous prime is 42484493. The next prime is 42484523. The reversal of 42484500 is 548424.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 42458256 = 162^2 + 6516^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39976 + ... + 41024.

It is an arithmetic number, because the mean of its divisors is an integer number (1156155).

Almost surely, 242484500 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 42484500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69369300).

42484500 is an abundant number, since it is smaller than the sum of its proper divisors (96254100).

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

42484500 is a wasteful number, since it uses less digits than its factorization.

42484500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42484500 is about 6518.0135010600. The cubic root of 42484500 is about 348.9341725803.

The spelling of 42484500 in words is "forty-two million, four hundred eighty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 250 270 300 324 375 405 450 500 540 675 750 810 900 1049 1125 1350 1500 1620 2025 2098 2250 2700 3147 3375 4050 4196 4500 5245 6294 6750 8100 9441 10125 10490 12588 13500 15735 18882 20250 20980 26225 28323 31470 37764 40500 47205 52450 56646 62940 78675 84969 94410 104900 113292 131125 141615 157350 169938 188820 236025 262250 283230 314700 339876 393375 424845 472050 524500 566460 708075 786750 849690 944100 1180125 1416150 1573500 1699380 2124225 2360250 2832300 3540375 4248450 4720500 7080750 8496900 10621125 14161500 21242250 42484500