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258325092 = 223341227257
BaseRepresentation
bin11110110010110…
…11101001100100
3200000002021102000
433121123221210
51012112400332
641344445300
76254504244
oct1731335144
9600067360
10258325092
111228aa513
1272619830
1341698aac
1426445b24
1517a2ab7c
hexf65ba64

258325092 has 96 divisors (see below), whose sum is σ = 691770240. Its totient is φ = 83312640.

The previous prime is 258325091. The next prime is 258325099. The reversal of 258325092 is 290523852.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (258325091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005028 + ... + 1005284.

It is an arithmetic number, because the mean of its divisors is an integer number (7205940).

Almost surely, 2258325092 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 258325092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345885120).

258325092 is an abundant number, since it is smaller than the sum of its proper divisors (433445148).

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

258325092 is a wasteful number, since it uses less digits than its factorization.

258325092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 258325092 is about 16072.4948903398. The cubic root of 258325092 is about 636.8769497479.

The spelling of 258325092 in words is "two hundred fifty-eight million, three hundred twenty-five thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 227 246 257 369 454 492 514 681 738 771 908 1028 1107 1362 1476 1542 2043 2214 2313 2724 3084 4086 4428 4626 6129 6939 8172 9252 9307 10537 12258 13878 18614 21074 24516 27756 27921 31611 37228 42148 55842 58339 63222 83763 94833 111684 116678 126444 167526 175017 189666 233356 251289 284499 335052 350034 379332 502578 525051 568998 700068 1005156 1050102 1137996 1575153 2100204 2391899 3150306 4783798 6300612 7175697 9567596 14351394 21527091 28702788 43054182 64581273 86108364 129162546 258325092