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458939442 = 231322915607
BaseRepresentation
bin11011010110101…
…101110000110010
31011222120112120010
4123112231300302
51414442030232
6113312355350
714241630603
oct3326556062
91158515503
10458939442
11216071aa5
12109845b56
1374109900
1444d47daa
152a4570cc
hex1b5adc32

458939442 has 48 divisors (see below), whose sum is σ = 1028255040. Its totient is φ = 136334016.

The previous prime is 458939441. The next prime is 458939449. The reversal of 458939442 is 244939854.

It is a super-2 number, since 2×4589394422 = 421250822846542728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 458939391 and 458939400.

It is not an unprimeable number, because it can be changed into a prime (458939441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21603 + ... + 37209.

It is an arithmetic number, because the mean of its divisors is an integer number (21421980).

Almost surely, 2458939442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458939442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514127520).

458939442 is an abundant number, since it is smaller than the sum of its proper divisors (569315598).

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

458939442 is a wasteful number, since it uses less digits than its factorization.

458939442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15667 (or 15654 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 458939442 is about 21422.8719363208. The cubic root of 458939442 is about 771.3505515942.

The spelling of 458939442 in words is "four hundred fifty-eight million, nine hundred thirty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 169 174 338 377 507 754 1014 1131 2262 4901 9802 14703 15607 29406 31214 46821 93642 202891 405782 452603 608673 905206 1217346 1357809 2637583 2715618 5275166 5883839 7912749 11767678 15825498 17651517 35303034 76489907 152979814 229469721 458939442