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455563104 = 25331473257
BaseRepresentation
bin11011001001110…
…101011101100000
31011202020000002120
4123021311131200
51413111004404
6113112144240
714201136213
oct3311653540
91152200076
10455563104
11214176337
12108698080
13734c6b89
144470977a
1529edb9d9
hex1b275760

455563104 has 96 divisors (see below), whose sum is σ = 1261080576. Its totient is φ = 143784960.

The previous prime is 455563103. The next prime is 455563219. The reversal of 455563104 is 401365554.

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

It is a super-2 number, since 2×4555631042 = 415075483452229632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455563103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138244 + ... + 141500.

It is an arithmetic number, because the mean of its divisors is an integer number (13136256).

Almost surely, 2455563104 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 455563104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630540288).

455563104 is an abundant number, since it is smaller than the sum of its proper divisors (805517472).

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

455563104 is a wasteful number, since it uses less digits than its factorization.

455563104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 455563104 is about 21343.9242877218. The cubic root of 455563104 is about 769.4543297611.

The spelling of 455563104 in words is "four hundred fifty-five million, five hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 93 94 96 124 141 186 188 248 282 372 376 496 564 744 752 992 1128 1457 1488 1504 2256 2914 2976 3257 4371 4512 5828 6514 8742 9771 11656 13028 17484 19542 23312 26056 34968 39084 46624 52112 69936 78168 100967 104224 139872 153079 156336 201934 302901 306158 312672 403868 459237 605802 612316 807736 918474 1211604 1224632 1615472 1836948 2423208 2449264 3230944 3673896 4745449 4846416 4898528 7347792 9490898 9692832 14236347 14695584 18981796 28472694 37963592 56945388 75927184 113890776 151854368 227781552 455563104