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458400047 = 7213171413
BaseRepresentation
bin11011010100101…
…010000100101111
31011221120010122112
4123110222010233
51414322300142
6113253034235
714234223200
oct3324520457
91157503575
10458400047
11215833816
1210962597b
1373c7b241
1444c475a7
152a39c382
hex1b52a12f

458400047 has 12 divisors (see below), whose sum is σ = 537318936. Its totient is φ = 389909520.

The previous prime is 458400043. The next prime is 458400073. The reversal of 458400047 is 740004854.

It is not a de Polignac number, because 458400047 - 22 = 458400043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 458399986 and 458400022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458400043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29288 + ... + 42125.

It is an arithmetic number, because the mean of its divisors is an integer number (44776578).

Almost surely, 2458400047 is an apocalyptic number.

458400047 is a deficient number, since it is larger than the sum of its proper divisors (78918889).

458400047 is a wasteful number, since it uses less digits than its factorization.

458400047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71558 (or 71551 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 458400047 is about 21410.2790033199. The cubic root of 458400047 is about 771.0482417470.

The spelling of 458400047 in words is "four hundred fifty-eight million, four hundred thousand, forty-seven".

Divisors: 1 7 49 131 917 6419 71413 499891 3499237 9355103 65485721 458400047