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452649132 = 2232134383271
BaseRepresentation
bin11010111110101…
…110000010101100
31011112201221212200
4122332232002230
51411334233012
6112525501500
714134311525
oct3276560254
91145657780
10452649132
11212565aa1
12107711890
1372a16730
144418b84c
1529b133dc
hex1afae0ac

452649132 has 144 divisors (see below), whose sum is σ = 1280767488. Its totient is φ = 133902720.

The previous prime is 452649101. The next prime is 452649149. The reversal of 452649132 is 231946254.

It is a happy number.

452649132 is a `hidden beast` number, since 4 + 5 + 2 + 649 + 1 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1670157 + ... + 1670427.

Almost surely, 2452649132 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 452649132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640383744).

452649132 is an abundant number, since it is smaller than the sum of its proper divisors (828118356).

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

452649132 is a wasteful number, since it uses less digits than its factorization.

452649132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 415 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 452649132 is about 21275.5524487615. The cubic root of 452649132 is about 767.8102355044.

The spelling of 452649132 in words is "four hundred fifty-two million, six hundred forty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 83 86 117 129 156 166 172 234 249 258 271 332 387 468 498 516 542 559 747 774 813 996 1079 1084 1118 1494 1548 1626 1677 2158 2236 2439 2988 3237 3252 3354 3523 3569 4316 4878 5031 6474 6708 7046 7138 9711 9756 10062 10569 10707 11653 12948 14092 14276 19422 20124 21138 21414 22493 23306 31707 32121 34959 38844 42276 42828 44986 46397 46612 63414 64242 67479 69918 89972 92794 104877 126828 128484 134958 139191 139836 151489 185588 202437 209754 269916 278382 292409 302978 404874 417573 419508 454467 556764 584818 605956 809748 835146 877227 908934 967199 1169636 1363401 1670292 1754454 1817868 1934398 2631681 2726802 2901597 3508908 3868796 5263362 5453604 5803194 8704791 10526724 11606388 12573587 17409582 25147174 34819164 37720761 50294348 75441522 113162283 150883044 226324566 452649132