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545361984 = 263611689
BaseRepresentation
bin100000100000011…
…001000001000000
31102000012021000000
4200200121001000
52104103040414
6130041000000
716341333426
oct4040310100
91360167000
10545361984
1125a92a592
12132783000
1388ca83cb
1452603116
1532d28b09
hex20819040

545361984 has 98 divisors (see below), whose sum is σ = 1622700590. Its totient is φ = 181771776.

The previous prime is 545361983. The next prime is 545362061. The reversal of 545361984 is 489163545.

545361984 is a `hidden beast` number, since 5 + 453 + 6 + 198 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 544195584 + 1166400 = 23328^2 + 1080^2 .

It is not an unprimeable number, because it can be changed into a prime (545361983) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 40812 + ... + 52500.

Almost surely, 2545361984 is an apocalyptic number.

545361984 is a gapful number since it is divisible by the number (54) 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 545361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811350295).

545361984 is an abundant number, since it is smaller than the sum of its proper divisors (1077338606).

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

545361984 is an equidigital number, since it uses as much as digits as its factorization.

545361984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11719 (or 11694 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 545361984 is about 23352.9866184178. The cubic root of 545361984 is about 817.0117208739.

The spelling of 545361984 in words is "five hundred forty-five million, three hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 11689 15552 23328 23378 35067 46656 46756 70134 93512 105201 140268 187024 210402 280536 315603 374048 420804 561072 631206 748096 841608 946809 1122144 1262412 1683216 1893618 2244288 2524824 2840427 3366432 3787236 5049648 5680854 6732864 7574472 8521281 10099296 11361708 15148944 17042562 20198592 22723416 30297888 34085124 45446832 60595776 68170248 90893664 136340496 181787328 272680992 545361984