Search a number
-
+
258721372 = 227213591721
BaseRepresentation
bin11110110101111…
…00011001011100
3200000211102000001
433122330121130
51012213040442
641401144044
76261044500
oct1732743134
9600742001
10258721372
11123050218
127278b024
13417a7290
142650a300
1517aa82b7
hexf6bc65c

258721372 has 72 divisors (see below), whose sum is σ = 577145520. Its totient is φ = 100558080.

The previous prime is 258721369. The next prime is 258721387. The reversal of 258721372 is 273127852.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 149472 + ... + 151192.

It is an arithmetic number, because the mean of its divisors is an integer number (8015910).

Almost surely, 2258721372 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 258721372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288572760).

258721372 is an abundant number, since it is smaller than the sum of its proper divisors (318424148).

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

258721372 is a wasteful number, since it uses less digits than its factorization.

258721372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1802 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 258721372 is about 16084.8180592756. The cubic root of 258721372 is about 637.2024474265.

The spelling of 258721372 in words is "two hundred fifty-eight million, seven hundred twenty-one thousand, three hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 59 91 98 118 182 196 236 364 413 637 767 826 1274 1534 1652 1721 2548 2891 3068 3442 5369 5782 6884 10738 11564 12047 21476 22373 24094 37583 44746 48188 75166 84329 89492 101539 150332 156611 168658 203078 313222 337316 406156 626444 710773 1096277 1320007 1421546 2192554 2640014 2843092 4385108 4975411 5280028 9240049 9950822 18480098 19901644 36960196 64680343 129360686 258721372