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42097848 = 23313177937
BaseRepresentation
bin1010000010010…
…1110010111000
32221012210101120
42200211302320
541234112343
64102145240
71020553152
oct240456270
987183346
1042097848
1121843811
1212122220
13894c690
14583bad2
153a68683
hex2825cb8

42097848 has 64 divisors (see below), whose sum is σ = 120022560. Its totient is φ = 12189696.

The previous prime is 42097841. The next prime is 42097877. The reversal of 42097848 is 84879024.

It is a super-2 number, since 2×420978482 = 3544457612462208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42097841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1336 + ... + 9272.

Almost surely, 242097848 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 42097848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60011280).

42097848 is an abundant number, since it is smaller than the sum of its proper divisors (77924712).

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

42097848 is a wasteful number, since it uses less digits than its factorization.

42097848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7976 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 42097848 is about 6488.2854437825. The cubic root of 42097848 is about 347.8723934309.

The spelling of 42097848 in words is "forty-two million, ninety-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 7937 15874 23811 31748 47622 63496 95244 103181 134929 190488 206362 269858 309543 404787 412724 539716 619086 809574 825448 1079432 1238172 1619148 1754077 2476344 3238296 3508154 5262231 7016308 10524462 14032616 21048924 42097848