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42098511 = 37131747193
BaseRepresentation
bin1010000010010…
…1111101001111
32221012211022010
42200211331033
541234123021
64102152303
71020555120
oct240457517
987184263
1042098511
1121844264
1212122693
13894ca80
14583c047
153a68976
hex2825f4f

42098511 has 64 divisors (see below), whose sum is σ = 75091968. Its totient is φ = 20348928.

The previous prime is 42098467. The next prime is 42098521. The reversal of 42098511 is 11589024.

It is a happy number.

It is not a de Polignac number, because 42098511 - 29 = 42097999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42098521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218031 + ... + 218223.

It is an arithmetic number, because the mean of its divisors is an integer number (1173312).

Almost surely, 242098511 is an apocalyptic number.

42098511 is a deficient number, since it is larger than the sum of its proper divisors (32993457).

42098511 is a wasteful number, since it uses less digits than its factorization.

42098511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 42098511 is about 6488.3365356615. The cubic root of 42098511 is about 347.8742196382.

It can be divided in two parts, 4209 and 8511, that added together give a triangular number (12720 = T159).

The spelling of 42098511 in words is "forty-two million, ninety-eight thousand, five hundred eleven".

Divisors: 1 3 7 13 17 21 39 47 51 91 119 141 193 221 273 329 357 579 611 663 799 987 1351 1547 1833 2397 2509 3281 4053 4277 4641 5593 7527 9071 9843 10387 12831 16779 17563 22967 27213 31161 42653 52689 63497 68901 72709 117923 127959 154207 190491 218127 298571 353769 462621 825461 895713 1079449 2004691 2476383 3238347 6014073 14032837 42098511