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258092112 = 24329315981
BaseRepresentation
bin11110110001000…
…10110001010000
3122222122102211010
433120202301100
51012032421422
641335450520
76252514065
oct1730426120
9588572733
10258092112
11122760473
1272526a40
1341616a35
14263c4c6c
15179d1b0c
hexf622c50

258092112 has 80 divisors (see below), whose sum is σ = 712097280. Its totient is φ = 80371200.

The previous prime is 258092099. The next prime is 258092117. The reversal of 258092112 is 211290852.

It is a super-2 number, since 2×2580921122 = 133223076553241088, 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 258092112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258092117) 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, 40162 + ... + 46142.

It is an arithmetic number, because the mean of its divisors is an integer number (8901216).

Almost surely, 2258092112 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 258092112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356048640).

258092112 is an abundant number, since it is smaller than the sum of its proper divisors (454005168).

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

258092112 is a wasteful number, since it uses less digits than its factorization.

258092112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 258092112 is about 16065.2454696466. The cubic root of 258092112 is about 636.6854285137.

The spelling of 258092112 in words is "two hundred fifty-eight million, ninety-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 48 58 62 87 93 116 124 174 186 232 248 348 372 464 496 696 744 899 1392 1488 1798 2697 3596 5394 5981 7192 10788 11962 14384 17943 21576 23924 35886 43152 47848 71772 95696 143544 173449 185411 287088 346898 370822 520347 556233 693796 741644 1040694 1112466 1387592 1483288 2081388 2224932 2775184 2966576 4162776 4449864 5376919 8325552 8899728 10753838 16130757 21507676 32261514 43015352 64523028 86030704 129046056 258092112