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258440064 = 2732932297
BaseRepresentation
bin11110110011101…
…11101110000000
3200000022010010020
433121313232000
51012130040224
641351133440
76255463401
oct1731675600
9600263106
10258440064
11122978933
1272674280
134170921c
14264759a8
1517a4ec79
hexf677b80

258440064 has 64 divisors (see below), whose sum is σ = 689124240. Its totient is φ = 85815296.

The previous prime is 258440057. The next prime is 258440093. The reversal of 258440064 is 460044852.

It is a tau number, because it is divible by the number of its divisors (64).

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, 111364 + ... + 113660.

Almost surely, 2258440064 is an apocalyptic number.

258440064 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 258440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344562120).

258440064 is an abundant number, since it is smaller than the sum of its proper divisors (430684176).

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

258440064 is a wasteful number, since it uses less digits than its factorization.

258440064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 258440064 is about 16076.0711618231. The cubic root of 258440064 is about 636.9714200601.

The spelling of 258440064 in words is "two hundred fifty-eight million, four hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 293 384 586 879 1172 1758 2297 2344 3516 4594 4688 6891 7032 9188 9376 13782 14064 18376 18752 27564 28128 36752 37504 55128 56256 73504 110256 112512 147008 220512 294016 441024 673021 882048 1346042 2019063 2692084 4038126 5384168 8076252 10768336 16152504 21536672 32305008 43073344 64610016 86146688 129220032 258440064