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42412491 = 37114143
BaseRepresentation
bin1010000111001…
…0100111001011
32221210210000000
42201302213023
541324144431
64113014043
71023333402
oct241624713
987723000
1042412491
1121a39150
1212254323
138a2c964
1458c0639
153acb9e6
hex28729cb

42412491 has 64 divisors (see below), whose sum is σ = 72737280. Its totient is φ = 24494400.

The previous prime is 42412481. The next prime is 42412499. The reversal of 42412491 is 19421424.

It is a happy number.

42412491 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42412491 - 29 = 42411979 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (42412499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 986316 + ... + 986358.

It is an arithmetic number, because the mean of its divisors is an integer number (1136520).

Almost surely, 242412491 is an apocalyptic number.

42412491 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

42412491 is a deficient number, since it is larger than the sum of its proper divisors (30324789).

42412491 is an equidigital number, since it uses as much as digits as its factorization.

42412491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 98 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 42412491 is about 6512.4873128475. The cubic root of 42412491 is about 348.7369193845.

The spelling of 42412491 in words is "forty-two million, four hundred twelve thousand, four hundred ninety-one".

Divisors: 1 3 9 11 27 33 41 43 81 99 123 129 243 297 369 387 451 473 729 891 1107 1161 1353 1419 1763 2187 2673 3321 3483 4059 4257 5289 8019 9963 10449 12177 12771 15867 19393 24057 29889 31347 36531 38313 47601 58179 89667 94041 109593 114939 142803 174537 328779 344817 428409 523611 986337 1034451 1285227 1570833 3855681 4712499 14137497 42412491