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445420896 = 25331971543
BaseRepresentation
bin11010100011001…
…001010101100000
31011001010201121020
4122203021111200
51403011432041
6112110525440
714016005124
oct3243112540
91131121536
10445420896
11209479348
12105206880
137138567b
1443229584
1529186866
hex1a8c9560

445420896 has 96 divisors (see below), whose sum is σ = 1220179968. Its totient is φ = 142110720.

The previous prime is 445420879. The next prime is 445420901. The reversal of 445420896 is 698024544.

It is a tau number, because it is divible by the number of its divisors (96).

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, 287901 + ... + 289443.

It is an arithmetic number, because the mean of its divisors is an integer number (12710208).

Almost surely, 2445420896 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 445420896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610089984).

445420896 is an abundant number, since it is smaller than the sum of its proper divisors (774759072).

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

445420896 is a wasteful number, since it uses less digits than its factorization.

445420896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 445420896 is about 21104.9969438519. The cubic root of 445420896 is about 763.7012985804.

The spelling of 445420896 in words is "four hundred forty-five million, four hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 97 124 186 194 248 291 372 388 496 582 744 776 992 1164 1488 1543 1552 2328 2976 3007 3086 3104 4629 4656 6014 6172 9021 9258 9312 12028 12344 18042 18516 24056 24688 36084 37032 47833 48112 49376 72168 74064 95666 96224 143499 144336 148128 149671 191332 286998 288672 299342 382664 449013 573996 598684 765328 898026 1147992 1197368 1530656 1796052 2295984 2394736 3592104 4591968 4639801 4789472 7184208 9279602 13919403 14368416 18559204 27838806 37118408 55677612 74236816 111355224 148473632 222710448 445420896