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258480325 = 52172331853
BaseRepresentation
bin11110110100000…
…01100011000101
3200000101011100101
433122001203011
51012132332300
641352044101
76256021645
oct1732014305
9600334311
10258480325
111229a6104
1272693631
134172164c
1426486525
1517a5bb6a
hexf6818c5

258480325 has 48 divisors (see below), whose sum is σ = 365976576. Its totient is φ = 179942400.

The previous prime is 258480323. The next prime is 258480331. The reversal of 258480325 is 523084852.

It is not a de Polignac number, because 258480325 - 21 = 258480323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258480323) 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 47 ways as a sum of consecutive naturals, for example, 302599 + ... + 303451.

It is an arithmetic number, because the mean of its divisors is an integer number (7624512).

Almost surely, 2258480325 is an apocalyptic number.

258480325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258480325 is a deficient number, since it is larger than the sum of its proper divisors (107496251).

258480325 is a wasteful number, since it uses less digits than its factorization.

258480325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 258480325 is about 16077.3233157762. The cubic root of 258480325 is about 637.0044951367.

The spelling of 258480325 in words is "two hundred fifty-eight million, four hundred eighty thousand, three hundred twenty-five".

Divisors: 1 5 17 23 25 31 85 115 155 391 425 527 575 713 775 853 1955 2635 3565 4265 9775 12121 13175 14501 17825 19619 21325 26443 60605 72505 98095 132215 303025 333523 362525 449531 490475 608189 661075 1667615 2247655 3040945 8338075 10339213 11238275 15204725 51696065 258480325