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258086988 = 223237712729
BaseRepresentation
bin11110110001000…
…01100001001100
3122222122011210100
433120201201030
51012032240423
641335411100
76252463125
oct1730414114
9588564710
10258086988
11122757635
1272523a90
13416145c3
14263c304c
15179d0343
hexf62184c

258086988 has 72 divisors (see below), whose sum is σ = 679704480. Its totient is φ = 82494720.

The previous prime is 258086981. The next prime is 258087007. The reversal of 258086988 is 889680852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258086981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93208 + ... + 95936.

It is an arithmetic number, because the mean of its divisors is an integer number (9440340).

Almost surely, 2258086988 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 258086988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339852240).

258086988 is an abundant number, since it is smaller than the sum of its proper divisors (421617492).

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

258086988 is a wasteful number, since it uses less digits than its factorization.

258086988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 258086988 is about 16065.0859941676. The cubic root of 258086988 is about 636.6812150338.

The spelling of 258086988 in words is "two hundred fifty-eight million, eighty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 71 74 111 142 148 213 222 284 333 426 444 639 666 852 1278 1332 2556 2627 2729 5254 5458 7881 8187 10508 10916 15762 16374 23643 24561 31524 32748 47286 49122 94572 98244 100973 193759 201946 302919 387518 403892 581277 605838 775036 908757 1162554 1211676 1743831 1817514 2325108 3487662 3635028 6975324 7169083 14338166 21507249 28676332 43014498 64521747 86028996 129043494 258086988