Search a number
-
+
42262425 = 33521729127
BaseRepresentation
bin1010000100110…
…1111110011001
32221112011011000
42201031332121
541304344200
64105455213
71022140032
oct241157631
987464130
1042262425
1121946427
12121a1509
1389a956a
145881a89
153a9c300
hex284df99

42262425 has 96 divisors (see below), whose sum is σ = 85708800. Its totient is φ = 20321280.

The previous prime is 42262397. The next prime is 42262427. The reversal of 42262425 is 52426224.

It is a happy number.

It is not a de Polignac number, because 42262425 - 26 = 42262361 is a prime.

It is a super-2 number, since 2×422624252 = 3572225133761250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (7680) is a multiple of the sum of its prime factors (192).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42262427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332712 + ... + 332838.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 242262425 is an apocalyptic number.

42262425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42262425 is an abundant number, since it is smaller than the sum of its proper divisors (43446375).

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

42262425 is a wasteful number, since it uses less digits than its factorization.

42262425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 42262425 is about 6500.9556989723. The cubic root of 42262425 is about 348.3251271822.

Adding to 42262425 its reverse (52426224), we get a palindrome (94688649).

The spelling of 42262425 in words is "forty-two million, two hundred sixty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 29 45 51 75 85 87 127 135 145 153 225 255 261 381 425 435 459 493 635 675 725 765 783 1143 1275 1305 1479 1905 2159 2175 2295 2465 3175 3429 3683 3825 3915 4437 5715 6477 6525 7395 9525 10795 11049 11475 12325 13311 17145 18415 19431 19575 22185 28575 32385 33147 36975 53975 55245 58293 62611 66555 85725 92075 97155 99441 110925 161925 165735 187833 276225 291465 313055 332775 485775 497205 563499 828675 939165 1457325 1565275 1690497 2486025 2817495 4695825 8452485 14087475 42262425