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258430007 = 11151157991
BaseRepresentation
bin11110110011101…
…01010000110111
3200000021121022202
433121311100313
51012124230012
641351015115
76255422153
oct1731652067
9600247282
10258430007
11122971320
127266a49b
1341704784
1426472063
1517a4bcc2
hexf675437

258430007 has 16 divisors (see below), whose sum is σ = 285886464. Its totient is φ = 231660000.

The previous prime is 258429943. The next prime is 258430031. The reversal of 258430007 is 700034852.

It is a happy number.

It is not a de Polignac number, because 258430007 - 26 = 258429943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258430037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260282 + ... + 261272.

It is an arithmetic number, because the mean of its divisors is an integer number (17867904).

Almost surely, 2258430007 is an apocalyptic number.

258430007 is a deficient number, since it is larger than the sum of its proper divisors (27456457).

258430007 is a wasteful number, since it uses less digits than its factorization.

258430007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 258430007 is about 16075.7583646931. The cubic root of 258430007 is about 636.9631575323.

Adding to 258430007 its reverse (700034852), we get a palindrome (958464859).

The spelling of 258430007 in words is "two hundred fifty-eight million, four hundred thirty thousand, seven".

Divisors: 1 11 151 157 991 1661 1727 10901 23707 149641 155587 260777 1646051 1711457 23493637 258430007