Search a number
-
+
452457642 = 23713828677
BaseRepresentation
bin11010111101111…
…111010010101010
31011112101020012110
4122331333102222
51411312121032
6112521423150
714132553330
oct3275772252
91145336173
10452457642
1121244513a
1210763aab6
137297a520
144413bb50
1529ac67cc
hex1af7f4aa

452457642 has 32 divisors (see below), whose sum is σ = 1113743232. Its totient is φ = 119329344.

The previous prime is 452457637. The next prime is 452457647. The reversal of 452457642 is 246754254.

It is an interprime number because it is at equal distance from previous prime (452457637) and next prime (452457647).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 452457642.

It is not an unprimeable number, because it can be changed into a prime (452457647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413793 + ... + 414884.

It is an arithmetic number, because the mean of its divisors is an integer number (34804476).

Almost surely, 2452457642 is an apocalyptic number.

452457642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

452457642 is an abundant number, since it is smaller than the sum of its proper divisors (661285590).

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

452457642 is a wasteful number, since it uses less digits than its factorization.

452457642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828702.

The product of its digits is 268800, while the sum is 39.

The square root of 452457642 is about 21271.0517370439. The cubic root of 452457642 is about 767.7019480109.

The spelling of 452457642 in words is "four hundred fifty-two million, four hundred fifty-seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 828677 1657354 2486031 4972062 5800739 10772801 11601478 17402217 21545602 32318403 34804434 64636806 75409607 150819214 226228821 452457642