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258955256 = 23719257947
BaseRepresentation
bin11110110111101…
…01011111111000
3200001021021211102
433123311133320
51012243032011
641410150532
76263040410
oct1733653770
9601237742
10258955256
1112319aa0a
1272882448
1341859881
142656b640
1517b0273b
hexf6f57f8

258955256 has 64 divisors (see below), whose sum is σ = 587001600. Its totient is φ = 104620032.

The previous prime is 258955231. The next prime is 258955259. The reversal of 258955256 is 652559852.

It is a super-2 number, since 2×2589552562 = 134115649220051072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 258955256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258955259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272975 + ... + 273921.

It is an arithmetic number, because the mean of its divisors is an integer number (9171900).

Almost surely, 2258955256 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 258955256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293500800).

258955256 is an abundant number, since it is smaller than the sum of its proper divisors (328046344).

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

258955256 is a wasteful number, since it uses less digits than its factorization.

258955256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1232 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 47.

The square root of 258955256 is about 16092.0867509469. The cubic root of 258955256 is about 637.3943998353.

The spelling of 258955256 in words is "two hundred fifty-eight million, nine hundred fifty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 257 266 514 532 947 1028 1064 1799 1894 2056 3598 3788 4883 6629 7196 7576 9766 13258 14392 17993 19532 26516 34181 35986 39064 53032 68362 71972 125951 136724 143944 243379 251902 273448 486758 503804 973516 1007608 1703653 1947032 3407306 4624201 6814612 9248402 13629224 18496804 32369407 36993608 64738814 129477628 258955256