Search a number
-
+
452405568 = 26329312621
BaseRepresentation
bin11010111101110…
…010100101000000
31011112021120202210
4122331302211000
51411303434233
6112520342120
714132245446
oct3275624500
91145246683
10452405568
11212409aaa
12107614940
137295c904
1444126b96
1529ab6163
hex1af72940

452405568 has 112 divisors (see below), whose sum is σ = 1278696960. Its totient is φ = 140851200.

The previous prime is 452405533. The next prime is 452405573. The reversal of 452405568 is 865504254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171298 + ... + 173918.

Almost surely, 2452405568 is an apocalyptic number.

452405568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639348480).

452405568 is an abundant number, since it is smaller than the sum of its proper divisors (826291392).

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

452405568 is a wasteful number, since it uses less digits than its factorization.

452405568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The square root of 452405568 is about 21269.8276438715. The cubic root of 452405568 is about 767.6724949075.

The spelling of 452405568 in words is "four hundred fifty-two million, four hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 174 186 192 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 1856 1984 2621 2697 2784 2976 3596 5242 5394 5568 5952 7192 7863 10484 10788 14384 15726 20968 21576 28768 31452 41936 43152 57536 62904 76009 81251 83872 86304 125808 152018 162502 167744 172608 228027 243753 251616 304036 325004 456054 487506 503232 608072 650008 912108 975012 1216144 1300016 1824216 1950024 2356279 2432288 2600032 3648432 3900048 4712558 4864576 5200064 7068837 7296864 7800096 9425116 14137674 14593728 15600192 18850232 28275348 37700464 56550696 75400928 113101392 150801856 226202784 452405568