Search a number
-
+
25949352 = 23311137561
BaseRepresentation
bin110001011111…
…1010010101000
31210211100211010
41202333102220
523120334402
62324103520
7433365042
oct142772250
953740733
1025949352
1113714150
128834ba0
1354b7360
143636a92
152428a6c
hex18bf4a8

25949352 has 64 divisors (see below), whose sum is σ = 76224960. Its totient is φ = 7257600.

The previous prime is 25949333. The next prime is 25949353. The reversal of 25949352 is 25394952.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 25949352.

It is not an unprimeable number, because it can be changed into a prime (25949353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349 + ... + 7212.

It is an arithmetic number, because the mean of its divisors is an integer number (1191015).

Almost surely, 225949352 is an apocalyptic number.

25949352 is a gapful number since it is divisible by the number (22) 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 25949352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38112480).

25949352 is an abundant number, since it is smaller than the sum of its proper divisors (50275608).

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

25949352 is a wasteful number, since it uses less digits than its factorization.

25949352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594 (or 7590 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 25949352 is about 5094.0506475692. The cubic root of 25949352 is about 296.0571170518.

The spelling of 25949352 in words is "twenty-five million, nine hundred forty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 7561 15122 22683 30244 45366 60488 83171 90732 98293 166342 181464 196586 249513 294879 332684 393172 499026 589758 665368 786344 998052 1081223 1179516 1996104 2162446 2359032 3243669 4324892 6487338 8649784 12974676 25949352