[go: up one dir, main page]

Search a number
-
+
42125265 = 365713127
BaseRepresentation
bin1010000010110…
…0011111010001
32221021012000000
42200230133101
541241002030
64102520213
71021026120
oct240543721
987235000
1042125265
1121862376
1212136069
13895bcc0
145847ab7
153a71860
hex282c7d1

42125265 has 112 divisors (see below), whose sum is σ = 94015488. Its totient is φ = 17635968.

The previous prime is 42125227. The next prime is 42125267. The reversal of 42125265 is 56252124.

It is not a de Polignac number, because 42125265 - 27 = 42125137 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (42125267) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 331632 + ... + 331758.

It is an arithmetic number, because the mean of its divisors is an integer number (839424).

Almost surely, 242125265 is an apocalyptic number.

42125265 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42125265 is an abundant number, since it is smaller than the sum of its proper divisors (51890223).

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

42125265 is a wasteful number, since it uses less digits than its factorization.

42125265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 42125265 is about 6490.3979076787. The cubic root of 42125265 is about 347.9478964799.

Adding to 42125265 its reverse (56252124), we get a palindrome (98377389).

The spelling of 42125265 in words is "forty-two million, one hundred twenty-five thousand, two hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 127 135 189 195 243 273 315 351 381 405 455 567 585 635 729 819 889 945 1053 1143 1215 1365 1651 1701 1755 1905 2457 2667 2835 3159 3429 3645 4095 4445 4953 5103 5265 5715 7371 8001 8255 8505 9477 10287 11557 12285 13335 14859 15795 17145 22113 24003 24765 25515 30861 34671 36855 40005 44577 47385 51435 57785 66339 72009 74295 92583 104013 110565 120015 133731 154305 173355 216027 222885 312039 331695 360045 401193 462915 520065 648081 668655 936117 1080135 1203579 1560195 2005965 2808351 3240405 4680585 6017895 8425053 14041755 42125265