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42482448 = 2433293391
BaseRepresentation
bin1010001000001…
…1101100010000
32221221022222000
42202003230100
541333414243
64114314000
71024044351
oct242035420
987838860
1042482448
1121a86768
1212288900
138a55758
1458dbd28
153ae25d3
hex2883b10

42482448 has 80 divisors (see below), whose sum is σ = 126182400. Its totient is φ = 13668480.

The previous prime is 42482443. The next prime is 42482483. The reversal of 42482448 is 84428424.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42482441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10833 + ... + 14223.

It is an arithmetic number, because the mean of its divisors is an integer number (1577280).

Almost surely, 242482448 is an apocalyptic number.

42482448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42482448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63091200).

42482448 is an abundant number, since it is smaller than the sum of its proper divisors (83699952).

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

42482448 is a wasteful number, since it uses less digits than its factorization.

42482448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3425 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 42482448 is about 6517.8560892367. The cubic root of 42482448 is about 348.9285546534.

The spelling of 42482448 in words is "forty-two million, four hundred eighty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 3391 4176 6264 6782 10173 12528 13564 20346 27128 30519 40692 54256 61038 81384 91557 98339 122076 162768 183114 196678 244152 295017 366228 393356 488304 590034 732456 786712 885051 1180068 1464912 1573424 1770102 2360136 2655153 3540204 4720272 5310306 7080408 10620612 14160816 21241224 42482448