Search a number
-
+
25750368 = 2532753241
BaseRepresentation
bin110001000111…
…0101101100000
31210110020212100
41202032231200
523043002433
62315530400
7431605650
oct142165540
953406770
1025750368
11135986a6
128759a00
135447907
1435c4360
1523d9b13
hex188eb60

25750368 has 144 divisors (see below), whose sum is σ = 85621536. Its totient is φ = 7188480.

The previous prime is 25750349. The next prime is 25750369. The reversal of 25750368 is 86305752.

It is a tau number, because it is divible by the number of its divisors (144).

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 (25750369) 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 23 ways as a sum of consecutive naturals, for example, 106728 + ... + 106968.

It is an arithmetic number, because the mean of its divisors is an integer number (594594).

Almost surely, 225750368 is an apocalyptic number.

25750368 is a gapful number since it is divisible by the number (28) 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 25750368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42810768).

25750368 is an abundant number, since it is smaller than the sum of its proper divisors (59871168).

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

25750368 is a wasteful number, since it uses less digits than its factorization.

25750368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 25750368 is about 5074.4820425340. The cubic root of 25750368 is about 295.2984358969.

It can be divided in two parts, 257 and 50368, that added together give a 4-th power (50625 = 154).

The spelling of 25750368 in words is "twenty-five million, seven hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 241 252 288 318 336 371 424 477 482 504 636 672 723 742 848 954 964 1008 1113 1272 1446 1484 1687 1696 1908 1928 2016 2169 2226 2544 2892 2968 3339 3374 3816 3856 4338 4452 5061 5088 5784 5936 6678 6748 7632 7712 8676 8904 10122 11568 11872 12773 13356 13496 15183 15264 17352 17808 20244 23136 25546 26712 26992 30366 34704 35616 38319 40488 51092 53424 53984 60732 69408 76638 80976 89411 102184 106848 114957 121464 153276 161952 178822 204368 229914 242928 268233 306552 357644 408736 459828 485856 536466 613104 715288 804699 919656 1072932 1226208 1430576 1609398 1839312 2145864 2861152 3218796 3678624 4291728 6437592 8583456 12875184 25750368