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258868736 = 29772229
BaseRepresentation
bin11110110111000…
…00011000000000
3200001002220010222
433123200120000
51012232244421
641404242212
76262230230
oct1733403000
9601086128
10258868736
11123140a05
1272840368
1341829389
1426547cc0
1517ad6cab
hexf6e0600

258868736 has 40 divisors (see below), whose sum is σ = 591130320. Its totient is φ = 110942208.

The previous prime is 258868733. The next prime is 258868739. The reversal of 258868736 is 637868852.

It is an interprime number because it is at equal distance from previous prime (258868733) and next prime (258868739).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258868733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32531 + ... + 39698.

It is an arithmetic number, because the mean of its divisors is an integer number (14778258).

Almost surely, 2258868736 is an apocalyptic number.

It is an amenable number.

258868736 is an abundant number, since it is smaller than the sum of its proper divisors (332261584).

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

258868736 is an frugal number, since it uses more digits than its factorization.

258868736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72254 (or 72238 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 53.

The square root of 258868736 is about 16089.3982485362. The cubic root of 258868736 is about 637.3234049367.

The spelling of 258868736 in words is "two hundred fifty-eight million, eight hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 72229 144458 288916 505603 577832 1011206 1155664 2022412 2311328 4044824 4622656 8089648 9245312 16179296 18490624 32358592 36981248 64717184 129434368 258868736