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452321128 = 23723438167
BaseRepresentation
bin11010111101011…
…101111101101000
31011112010021221101
4122331131331220
51411243234003
6112514451144
714131444330
oct3275357550
91145107841
10452321128
11212361616
12107593ab4
137293034c
14441040c0
1529a9b11d
hex1af5df68

452321128 has 64 divisors (see below), whose sum is σ = 1035048960. Its totient is φ = 181089216.

The previous prime is 452321119. The next prime is 452321141. The reversal of 452321128 is 821123254.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 452321096 and 452321105.

It is an unprimeable number.

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, 51301 + ... + 59467.

It is an arithmetic number, because the mean of its divisors is an integer number (16172640).

Almost surely, 2452321128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452321128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517524480).

452321128 is an abundant number, since it is smaller than the sum of its proper divisors (582727832).

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

452321128 is a wasteful number, since it uses less digits than its factorization.

452321128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8242 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 452321128 is about 21267.8425798199. The cubic root of 452321128 is about 767.6247307600.

It can be divided in two parts, 45232 and 1128, that added together give a triangular number (46360 = T304).

The spelling of 452321128 in words is "four hundred fifty-two million, three hundred twenty-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 23 28 43 46 56 86 92 161 172 184 301 322 344 602 644 989 1204 1288 1978 2408 3956 6923 7912 8167 13846 16334 27692 32668 55384 57169 65336 114338 187841 228676 351181 375682 457352 702362 751364 1314887 1404724 1502728 2458267 2629774 2809448 4916534 5259548 8077163 9833068 10519096 16154326 19666136 32308652 56540141 64617304 113080282 226160564 452321128