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42172614 = 23211217267
BaseRepresentation
bin1010000011100…
…0000011000110
32221100120221200
42200320003012
541244010424
64103523330
71021314141
oct240700306
987316850
1042172614
1121894a00
1212159546
138977713
14585b058
153a808c9
hex28380c6

42172614 has 108 divisors (see below), whose sum is σ = 108283812. Its totient is φ = 11848320.

The previous prime is 42172607. The next prime is 42172621. The reversal of 42172614 is 41627124.

42172614 is a `hidden beast` number, since 42 + 1 + 7 + 2 + 614 = 666.

It is an interprime number because it is at equal distance from previous prime (42172607) and next prime (42172621).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 629409 + ... + 629475.

Almost surely, 242172614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42172614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54141906).

42172614 is an abundant number, since it is smaller than the sum of its proper divisors (66111198).

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

42172614 is a wasteful number, since it uses less digits than its factorization.

42172614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42172614 is about 6494.0445024653. The cubic root of 42172614 is about 348.0782127019.

Adding to 42172614 its reverse (41627124), we get a palindrome (83799738).

Subtracting from 42172614 its reverse (41627124), we obtain a triangular number (545490 = T1044).

The spelling of 42172614 in words is "forty-two million, one hundred seventy-two thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 67 99 102 121 134 153 187 198 201 242 289 306 363 374 402 561 578 603 726 737 867 1089 1122 1139 1206 1474 1683 1734 2057 2178 2211 2278 2601 3179 3366 3417 4114 4422 5202 6171 6358 6633 6834 8107 9537 10251 12342 12529 13266 16214 18513 19074 19363 20502 24321 25058 28611 34969 37026 37587 38726 48642 57222 58089 69938 72963 75174 104907 112761 116178 137819 145926 174267 209814 212993 225522 275638 314721 348534 413457 425986 629442 638979 826914 1240371 1277958 1916937 2342923 2480742 3833874 4685846 7028769 14057538 21086307 42172614