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5484768 = 253193197
BaseRepresentation
bin10100111011000011100000
3101022122200120
4110323003200
52401003033
6313320240
764422402
oct24730340
911278616
105484768
113106873
121a06080
1311a0633
14a2ab72
157351b3
hex53b0e0

5484768 has 96 divisors (see below), whose sum is σ = 15805440. Its totient is φ = 1658880.

The previous prime is 5484767. The next prime is 5484797. The reversal of 5484768 is 8674845.

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

Its product of digits (215040) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5484763) 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, 56496 + ... + 56592.

It is an arithmetic number, because the mean of its divisors is an integer number (164640).

Almost surely, 25484768 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 5484768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902720).

5484768 is an abundant number, since it is smaller than the sum of its proper divisors (10320672).

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

5484768 is a wasteful number, since it uses less digits than its factorization.

5484768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 5484768 is about 2341.9581550489. The cubic root of 5484768 is about 176.3543137840.

The spelling of 5484768 in words is "five million, four hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 97 114 124 152 186 194 228 248 291 304 372 388 456 496 582 589 608 744 776 912 992 1164 1178 1488 1552 1767 1824 1843 2328 2356 2976 3007 3104 3534 3686 4656 4712 5529 6014 7068 7372 9021 9312 9424 11058 12028 14136 14744 18042 18848 22116 24056 28272 29488 36084 44232 48112 56544 57133 58976 72168 88464 96224 114266 144336 171399 176928 228532 288672 342798 457064 685596 914128 1371192 1828256 2742384 5484768