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42464250 = 23653233
BaseRepresentation
bin1010000111111…
…1001111111010
32221220102000000
42201333033322
541332324000
64114053430
71023640323
oct241771772
987812000
1042464250
1121a74024
121227a276
138a4a39a
1458d544a
153adc000
hex287f3fa

42464250 has 112 divisors (see below), whose sum is σ = 119696616. Its totient is φ = 11275200.

The previous prime is 42464239. The next prime is 42464267. The reversal of 42464250 is 5246424.

It can be written as a sum of positive squares in 4 ways, for example, as 6859161 + 35605089 = 2619^2 + 5967^2 .

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

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 55 ways as a sum of consecutive naturals, for example, 182134 + ... + 182366.

Almost surely, 242464250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42464250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59848308).

42464250 is an abundant number, since it is smaller than the sum of its proper divisors (77232366).

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

42464250 is an equidigital number, since it uses as much as digits as its factorization.

42464250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42464250 is about 6516.4599285195. The cubic root of 42464250 is about 348.8787245939.

The spelling of 42464250 in words is "forty-two million, four hundred sixty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 233 243 250 270 375 405 450 466 486 675 699 729 750 810 1125 1165 1215 1350 1398 1458 2025 2097 2250 2330 2430 3375 3495 3645 4050 4194 5825 6075 6291 6750 6990 7290 10125 10485 11650 12150 12582 17475 18225 18873 20250 20970 29125 30375 31455 34950 36450 37746 52425 56619 58250 60750 62910 87375 91125 94365 104850 113238 157275 169857 174750 182250 188730 262125 283095 314550 339714 471825 524250 566190 786375 849285 943650 1415475 1572750 1698570 2359125 2830950 4246425 4718250 7077375 8492850 14154750 21232125 42464250