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258156990 = 233572131979
BaseRepresentation
bin11110110001100…
…10100110111110
3122222202201211000
433120302212332
51012042010430
641341111130
76253204200
oct1730624676
9588681730
10258156990
111227a5193
12725584a6
134163a420
1426400770
15179e5e60
hexf6329be

258156990 has 384 divisors, whose sum is σ = 919296000. Its totient is φ = 50948352.

The previous prime is 258156979. The next prime is 258157013. The reversal of 258156990 is 99651852.

258156990 is a `hidden beast` number, since 2 + 5 + 81 + 569 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 191 ways as a sum of consecutive naturals, for example, 3267771 + ... + 3267849.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 2258156990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258156990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648000).

258156990 is an abundant number, since it is smaller than the sum of its proper divisors (661139010).

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

258156990 is a wasteful number, since it uses less digits than its factorization.

258156990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 258156990 is about 16067.2645462754. The cubic root of 258156990 is about 636.7387730557.

The spelling of 258156990 in words is "two hundred fifty-eight million, one hundred fifty-six thousand, nine hundred ninety".