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42942510 = 232513172127
BaseRepresentation
bin1010001111010…
…0000000101110
32222210201001100
42203310000232
541443130020
64132223530
71031001552
oct243640056
988721040
1042942510
1122270386
121246aba6
138b86c90
1459bb862
153b83a90
hex28f402e

42942510 has 144 divisors (see below), whose sum is σ = 128733696. Its totient is φ = 9870336.

The previous prime is 42942481. The next prime is 42942517. The reversal of 42942510 is 1524924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42942517) 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 71 ways as a sum of consecutive naturals, for example, 338067 + ... + 338193.

It is an arithmetic number, because the mean of its divisors is an integer number (893984).

Almost surely, 242942510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42942510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64366848).

42942510 is an abundant number, since it is smaller than the sum of its proper divisors (85791186).

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

42942510 is a wasteful number, since it uses less digits than its factorization.

42942510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42942510 is about 6553.0534867343. The cubic root of 42942510 is about 350.1836043476.

The spelling of 42942510 in words is "forty-two million, nine hundred forty-two thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 127 130 153 170 195 221 234 254 255 289 306 381 390 442 510 578 585 635 663 762 765 867 1105 1143 1170 1270 1326 1445 1530 1651 1734 1905 1989 2159 2210 2286 2601 2890 3302 3315 3757 3810 3978 4318 4335 4953 5202 5715 6477 6630 7514 8255 8670 9906 9945 10795 11271 11430 12954 13005 14859 16510 18785 19431 19890 21590 22542 24765 26010 28067 29718 32385 33813 36703 37570 38862 49530 56134 56355 64770 67626 73406 74295 84201 97155 110109 112710 140335 148590 168402 169065 183515 194310 220218 252603 280670 330327 338130 367030 421005 477139 505206 550545 660654 842010 954278 1101090 1263015 1431417 1651635 2385695 2526030 2862834 3303270 4294251 4771390 7157085 8588502 14314170 21471255 42942510