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42481032 = 23311374349
BaseRepresentation
bin1010001000001…
…1010110001000
32221221021000120
42202003112020
541333343112
64114303240
71024040256
oct242032610
987837016
1042481032
1121a856a0
1212287b20
138a54c09
1458db5d6
153ae1e8c
hex2883588

42481032 has 64 divisors (see below), whose sum is σ = 119016000. Its totient is φ = 12522240.

The previous prime is 42481013. The next prime is 42481063. The reversal of 42481032 is 23018424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42480993 and 42481011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7594 + ... + 11942.

It is an arithmetic number, because the mean of its divisors is an integer number (1859625).

Almost surely, 242481032 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 42481032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59508000).

42481032 is an abundant number, since it is smaller than the sum of its proper divisors (76534968).

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

42481032 is a wasteful number, since it uses less digits than its factorization.

42481032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42481032 is about 6517.7474636564. The cubic root of 42481032 is about 348.9246778498.

Adding to 42481032 its reverse (23018424), we get a palindrome (65499456).

The spelling of 42481032 in words is "forty-two million, four hundred eighty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4349 4884 8698 9768 13047 17396 26094 34792 47839 52188 95678 104376 143517 160913 191356 287034 321826 382712 482739 574068 643652 965478 1148136 1287304 1770043 1930956 3540086 3861912 5310129 7080172 10620258 14160344 21240516 42481032