Search a number
-
+
458549056 = 2672146221
BaseRepresentation
bin11011010101001…
…110011101000000
31011221211201001101
4123111032131000
51414342032211
6113300144144
714235413500
oct3325163500
91157751041
10458549056
11215925769
12109698054
1374001004
1444c85a00
152a3cb5c1
hex1b54e740

458549056 has 42 divisors (see below), whose sum is σ = 1058501058. Its totient is φ = 196519680.

The previous prime is 458549051. The next prime is 458549081. The reversal of 458549056 is 650945854.

It can be written as a sum of positive squares in only one way, i.e., 417793600 + 40755456 = 20440^2 + 6384^2 .

It is a super-2 number, since 2×4585490562 = 420534473516982272, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 458548997 and 458549015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458549051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69975 + ... + 76246.

Almost surely, 2458549056 is an apocalyptic number.

It is an amenable number.

458549056 is an abundant number, since it is smaller than the sum of its proper divisors (599952002).

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

458549056 is a wasteful number, since it uses less digits than its factorization.

458549056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146247 (or 146230 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The square root of 458549056 is about 21413.7585677993. The cubic root of 458549056 is about 771.1317791733.

The spelling of 458549056 in words is "four hundred fifty-eight million, five hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 146221 292442 584884 1023547 1169768 2047094 2339536 4094188 4679072 7164829 8188376 9358144 14329658 16376752 28659316 32753504 57318632 65507008 114637264 229274528 458549056