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42387972 = 223113171013
BaseRepresentation
bin1010000110110…
…0101000000100
32221202112100220
42201230220010
541322403342
64112304340
71023202044
oct241545004
987675326
1042387972
1121a21790
12122420b0
138a21753
1458b5724
153ac45ec
hex286ca04

42387972 has 48 divisors (see below), whose sum is σ = 108343872. Its totient is φ = 12791680.

The previous prime is 42387949. The next prime is 42387979. The reversal of 42387972 is 27978324.

It is not an unprimeable number, because it can be changed into a prime (42387979) 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, 41338 + ... + 42350.

It is an arithmetic number, because the mean of its divisors is an integer number (2257164).

Almost surely, 242387972 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 42387972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54171936).

42387972 is an abundant number, since it is smaller than the sum of its proper divisors (65955900).

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

42387972 is a wasteful number, since it uses less digits than its factorization.

42387972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1346 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 42387972 is about 6510.6045802214. The cubic root of 42387972 is about 348.6697038969.

The spelling of 42387972 in words is "forty-two million, three hundred eighty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 317 634 951 1013 1268 1902 2026 3039 3487 3804 4052 6078 6974 10461 11143 12156 13948 20922 22286 33429 41844 44572 66858 133716 321121 642242 963363 1284484 1926726 3532331 3853452 7064662 10596993 14129324 21193986 42387972