Search a number
-
+
258259092 = 223713713331
BaseRepresentation
bin11110110010010…
…11100010010100
3122222221220212120
433121023202110
51012103242332
641343215540
76254110650
oct1731134224
9588856776
10258259092
11122864973
12725a75b0
1341674a40
1426429a60
1517a1632c
hexf64b894

258259092 has 96 divisors (see below), whose sum is σ = 752338944. Its totient is φ = 67132800.

The previous prime is 258259091. The next prime is 258259093. The reversal of 258259092 is 290952852.

258259092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (258259091) and next prime (258259093).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258259091) 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, 75867 + ... + 79197.

It is an arithmetic number, because the mean of its divisors is an integer number (7836864).

Almost surely, 2258259092 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 258259092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376169472).

258259092 is an abundant number, since it is smaller than the sum of its proper divisors (494079852).

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

258259092 is a wasteful number, since it uses less digits than its factorization.

258259092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 258259092 is about 16070.4415620729. The cubic root of 258259092 is about 636.8227061348.

The spelling of 258259092 in words is "two hundred fifty-eight million, two hundred fifty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 71 78 84 91 142 156 182 213 273 284 364 426 497 546 852 923 994 1092 1491 1846 1988 2769 2982 3331 3692 5538 5964 6461 6662 9993 11076 12922 13324 19383 19986 23317 25844 38766 39972 43303 46634 69951 77532 86606 93268 129909 139902 173212 236501 259818 279804 303121 473002 519636 606242 709503 909363 946004 1212484 1419006 1655507 1818726 2838012 3074513 3311014 3637452 4966521 6149026 6622028 9223539 9933042 12298052 18447078 19866084 21521591 36894156 43043182 64564773 86086364 129129546 258259092