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42162176 = 211717173
BaseRepresentation
bin1010000011010…
…1100000000000
32221100001122002
42200311200000
541243142201
64103403132
71021241540
oct240654000
987301562
1042162176
1121888081
12121534a8
138972a44
145857320
153a7c76b
hex2835800

42162176 has 96 divisors (see below), whose sum is σ = 102604320. Its totient is φ = 16908288.

The previous prime is 42162119. The next prime is 42162179. The reversal of 42162176 is 67126124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42162179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243626 + ... + 243798.

It is an arithmetic number, because the mean of its divisors is an integer number (1068795).

Almost surely, 242162176 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 42162176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51302160).

42162176 is an abundant number, since it is smaller than the sum of its proper divisors (60442144).

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

42162176 is a wasteful number, since it uses less digits than its factorization.

42162176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 199 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 42162176 is about 6493.2407933173. The cubic root of 42162176 is about 348.0494931148.

The spelling of 42162176 in words is "forty-two million, one hundred sixty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 173 224 238 256 272 346 448 476 512 544 692 896 952 1024 1088 1211 1384 1792 1904 2048 2176 2422 2768 2941 3584 3808 4352 4844 5536 5882 7168 7616 8704 9688 11072 11764 14336 15232 17408 19376 20587 22144 23528 30464 34816 38752 41174 44288 47056 60928 77504 82348 88576 94112 121856 155008 164696 177152 188224 243712 310016 329392 354304 376448 620032 658784 752896 1240064 1317568 1505792 2480128 2635136 3011584 5270272 6023168 10540544 21081088 42162176