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42016177 = 728310331
BaseRepresentation
bin1010000001000…
…1110110110001
32221001122100201
42200101312301
541224004202
64100315201
71020063100
oct240216661
987048321
1042016177
1121798415
12120a2b01
138921458
14581a037
153a4e387
hex2811db1

42016177 has 12 divisors (see below), whose sum is σ = 49469616. Its totient is φ = 35576520.

The previous prime is 42016153. The next prime is 42016187. The reversal of 42016177 is 77161024.

It is a de Polignac number, because none of the positive numbers 2k-42016177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42016187) 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 11 ways as a sum of consecutive naturals, for example, 1099 + ... + 9232.

It is an arithmetic number, because the mean of its divisors is an integer number (4122468).

Almost surely, 242016177 is an apocalyptic number.

It is an amenable number.

42016177 is a deficient number, since it is larger than the sum of its proper divisors (7453439).

42016177 is a wasteful number, since it uses less digits than its factorization.

42016177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428 (or 10421 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 42016177 is about 6481.9886608972. The cubic root of 42016177 is about 347.6472870800.

The spelling of 42016177 in words is "forty-two million, sixteen thousand, one hundred seventy-seven".

Divisors: 1 7 49 83 581 4067 10331 72317 506219 857473 6002311 42016177