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42045498 = 232111311621
BaseRepresentation
bin1010000001100…
…1000000111010
32221010010120200
42200121000322
541230423443
64101103030
71020244425
oct240310072
987103520
1042045498
1121808450
12120b7a76
1389318c1
1458269bc
153a57dd3
hex281903a

42045498 has 48 divisors (see below), whose sum is σ = 100200672. Its totient is φ = 12636000.

The previous prime is 42045491. The next prime is 42045511. The reversal of 42045498 is 89454024.

It is not an unprimeable number, because it can be changed into a prime (42045491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25128 + ... + 26748.

It is an arithmetic number, because the mean of its divisors is an integer number (2087514).

Almost surely, 242045498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42045498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50100336).

42045498 is an abundant number, since it is smaller than the sum of its proper divisors (58155174).

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

42045498 is a wasteful number, since it uses less digits than its factorization.

42045498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42045498 is about 6484.2499951806. The cubic root of 42045498 is about 347.7281368590.

The spelling of 42045498 in words is "forty-two million, forty-five thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 262 393 786 1179 1441 1621 2358 2882 3242 4323 4863 8646 9726 12969 14589 17831 25938 29178 35662 53493 106986 160479 212351 320958 424702 637053 1274106 1911159 2335861 3822318 4671722 7007583 14015166 21022749 42045498