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258291894 = 23737712341
BaseRepresentation
bin11110110010100…
…11100010110110
3200000000120212110
433121103202312
51012110320034
641344031450
76254305410
oct1731234266
9600016773
10258291894
11122887583
1272602586
1341686953
14264379b0
1517a20de9
hexf6538b6

258291894 has 64 divisors (see below), whose sum is σ = 615140352. Its totient is φ = 70761600.

The previous prime is 258291883. The next prime is 258291899. The reversal of 258291894 is 498192852.

It is a super-2 number, since 2×2582918942 = 133429405012214472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258291899) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109164 + ... + 111504.

It is an arithmetic number, because the mean of its divisors is an integer number (9611568).

Almost surely, 2258291894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258291894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307570176).

258291894 is an abundant number, since it is smaller than the sum of its proper divisors (356848458).

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

258291894 is a wasteful number, since it uses less digits than its factorization.

258291894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461.

The product of its digits is 414720, while the sum is 48.

The square root of 258291894 is about 16071.4620990126. The cubic root of 258291894 is about 636.8496663655.

The spelling of 258291894 in words is "two hundred fifty-eight million, two hundred ninety-one thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 37 42 71 74 111 142 213 222 259 426 497 518 777 994 1491 1554 2341 2627 2982 4682 5254 7023 7881 14046 15762 16387 18389 32774 36778 49161 55167 86617 98322 110334 166211 173234 259851 332422 498633 519702 606319 997266 1163477 1212638 1818957 2326954 3490431 3637914 6149807 6980862 12299614 18449421 36898842 43048649 86097298 129145947 258291894