Search a number
-
+
4125565332 = 2233719727701
BaseRepresentation
bin1111010111100111…
…0010000110010100
3101122111222102201000
43311321302012110
531422121042312
61521213103300
7204143504160
oct36571620624
911574872630
104125565332
111827857329
12971787b30
13509946825
142b1cbbca0
151922c9adc
hexf5e72194

4125565332 has 96 divisors (see below), whose sum is σ = 12286391040. Its totient is φ = 1172707200.

The previous prime is 4125565331. The next prime is 4125565351. The reversal of 4125565332 is 2335655214.

4125565332 is a `hidden beast` number, since 41 + 25 + 565 + 3 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125565331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135082 + ... + 162782.

It is an arithmetic number, because the mean of its divisors is an integer number (127983240).

Almost surely, 24125565332 is an apocalyptic number.

4125565332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125565332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143195520).

4125565332 is an abundant number, since it is smaller than the sum of its proper divisors (8160825708).

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

4125565332 is a wasteful number, since it uses less digits than its factorization.

4125565332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27918 (or 27910 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 4125565332 is about 64230.5638461940. The cubic root of 4125565332 is about 1603.8404271783.

The spelling of 4125565332 in words is "four billion, one hundred twenty-five million, five hundred sixty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 197 252 378 394 591 756 788 1182 1379 1773 2364 2758 3546 4137 5319 5516 7092 8274 10638 12411 16548 21276 24822 27701 37233 49644 55402 74466 83103 110804 148932 166206 193907 249309 332412 387814 498618 581721 747927 775628 997236 1163442 1495854 1745163 2326884 2991708 3490326 5235489 5457097 6980652 10470978 10914194 16371291 20941956 21828388 32742582 38199679 49113873 65485164 76399358 98227746 114599037 147341619 152798716 196455492 229198074 294683238 343797111 458396148 589366476 687594222 1031391333 1375188444 2062782666 4125565332