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258955542 = 2343135107
BaseRepresentation
bin11110110111101…
…01100100010110
3200001021022020000
433123311210112
51012243034132
641410152130
76263041266
oct1733654426
9601238200
10258955542
111231a014a
1272882646
1341859a41
142656b7a6
1517b0287c
hexf6f5916

258955542 has 40 divisors (see below), whose sum is σ = 582220056. Its totient is φ = 86025888.

The previous prime is 258955537. The next prime is 258955547. The reversal of 258955542 is 245559852.

258955542 is a `hidden beast` number, since 2 + 5 + 8 + 95 + 554 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (258955537) and next prime (258955547).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258955547) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 48153 + ... + 53259.

Almost surely, 2258955542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258955542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291110028).

258955542 is an abundant number, since it is smaller than the sum of its proper divisors (323264514).

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

258955542 is a wasteful number, since it uses less digits than its factorization.

258955542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 5425 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The square root of 258955542 is about 16092.0956372997. The cubic root of 258955542 is about 637.3946344893.

The spelling of 258955542 in words is "two hundred fifty-eight million, nine hundred fifty-five thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 313 626 939 1878 2817 5107 5634 8451 10214 15321 16902 25353 30642 45963 50706 91926 137889 275778 413667 827334 1598491 3196982 4795473 9590946 14386419 28772838 43159257 86318514 129477771 258955542