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452241305028 = 223423199304961
BaseRepresentation
bin1101001010010111010…
…11101010110111000100
31121020022110210122010000
412211023223222313010
524402142233230103
6543431244401300
744446650444522
oct6451353526704
91536273718100
10452241305028
11164881477057
1273792846230
1333852842256
1417c62443312
15bb6ce18aa3
hex694baeadc4

452241305028 has 120 divisors (see below), whose sum is σ = 1239853507200. Its totient is φ = 143467822080.

The previous prime is 452241305027. The next prime is 452241305041. The reversal of 452241305028 is 820503142254.

452241305028 is a `hidden beast` number, since 452 + 2 + 4 + 130 + 50 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 452241304983 and 452241305001.

It is not an unprimeable number, because it can be changed into a prime (452241305027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1330468 + ... + 1635428.

It is an arithmetic number, because the mean of its divisors is an integer number (10332112560).

Almost surely, 2452241305028 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 452241305028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619926753600).

452241305028 is an abundant number, since it is smaller than the sum of its proper divisors (787612202172).

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

452241305028 is a wasteful number, since it uses less digits than its factorization.

452241305028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305199 (or 305188 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 452241305028 in words is "four hundred fifty-two billion, two hundred forty-one million, three hundred five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 199 207 276 324 398 414 597 621 796 828 1194 1242 1791 1863 2388 2484 3582 3726 4577 5373 7164 7452 9154 10746 13731 16119 18308 21492 27462 32238 41193 54924 64476 82386 123579 164772 247158 304961 370737 494316 609922 741474 914883 1219844 1482948 1829766 2744649 3659532 5489298 7014103 8233947 10978596 14028206 16467894 21042309 24701841 28056412 32935788 42084618 49403682 60687239 63126927 84169236 98807364 121374478 126253854 182061717 189380781 242748956 252507708 364123434 378761562 546185151 568142343 728246868 757523124 1092370302 1136284686 1395806497 1638555453 2184740604 2272569372 2791612994 3277110906 4187419491 4915666359 5583225988 6554221812 8374838982 9831332718 12562258473 16749677964 19662665436 25124516946 37686775419 50249033892 75373550838 113060326257 150747101676 226120652514 452241305028