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258407248 = 24112935011
BaseRepresentation
bin11110110011011…
…11101101010000
3200000020110002211
433121233231100
51012123012443
641350321504
76255265621
oct1731575520
9600213084
10258407248
11122956210
1272659294
13416c72c8
1426467a48
1517a4519d
hexf66fb50

258407248 has 40 divisors (see below), whose sum is σ = 548152416. Its totient is φ = 117033600.

The previous prime is 258407243. The next prime is 258407251. The reversal of 258407248 is 842704852.

It is a self number, because there is not a number n which added to its sum of digits gives 258407248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258407243) 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 7 ways as a sum of consecutive naturals, for example, 49063 + ... + 54073.

Almost surely, 2258407248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258407248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274076208).

258407248 is an abundant number, since it is smaller than the sum of its proper divisors (289745168).

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

258407248 is a wasteful number, since it uses less digits than its factorization.

258407248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 258407248 is about 16075.0504820358. The cubic root of 258407248 is about 636.9444586329.

The spelling of 258407248 in words is "two hundred fifty-eight million, four hundred seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 293 586 1172 2344 3223 4688 5011 6446 10022 12892 20044 25784 40088 51568 55121 80176 110242 220484 440968 881936 1468223 2936446 5872892 11745784 16150453 23491568 32300906 64601812 129203624 258407248