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258031104 = 293315419
BaseRepresentation
bin11110110000100…
…11111000000000
3122222112100010120
433120103320000
51012023443404
641334300240
76252141162
oct1730237000
9588470116
10258031104
11122719651
12724b7680
13415c5036
14263aa932
15179bd9d9
hexf613e00

258031104 has 80 divisors (see below), whose sum is σ = 709716480. Its totient is φ = 83220480.

The previous prime is 258031097. The next prime is 258031133. The reversal of 258031104 is 401130852.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44907 + ... + 50325.

It is an arithmetic number, because the mean of its divisors is an integer number (8871456).

Almost surely, 2258031104 is an apocalyptic number.

258031104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354858240).

258031104 is an abundant number, since it is smaller than the sum of its proper divisors (451685376).

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

258031104 is an equidigital number, since it uses as much as digits as its factorization.

258031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 258031104 is about 16063.3466002574. The cubic root of 258031104 is about 636.6352578397.

Adding to 258031104 its reverse (401130852), we get a palindrome (659161956).

The spelling of 258031104 in words is "two hundred fifty-eight million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3968 5419 5952 7936 10838 11904 15872 16257 21676 23808 32514 43352 47616 65028 86704 130056 167989 173408 260112 335978 346816 503967 520224 671956 693632 1007934 1040448 1343912 1387264 2015868 2080896 2687824 2774528 4031736 4161792 5375648 8063472 8323584 10751296 16126944 21502592 32253888 43005184 64507776 86010368 129015552 258031104