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481378688 = 277727739
BaseRepresentation
bin11100101100010…
…100000110000000
31020112210120102022
4130230110012000
51441213104223
6115433341012
714633436260
oct3454240600
91215716368
10481378688
112277a8a2a
12115267768
137896537b
1447d097a0
152c3daac8
hex1cb14180

481378688 has 64 divisors (see below), whose sum is σ = 1098988800. Its totient is φ = 205742592.

The previous prime is 481378673. The next prime is 481378691. The reversal of 481378688 is 886873184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651023 + ... + 651761.

It is an arithmetic number, because the mean of its divisors is an integer number (17171700).

Almost surely, 2481378688 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 481378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549494400).

481378688 is an abundant number, since it is smaller than the sum of its proper divisors (617610112).

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

481378688 is an equidigital number, since it uses as much as digits as its factorization.

481378688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1475 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 53.

The square root of 481378688 is about 21940.3438441607. The cubic root of 481378688 is about 783.7224479138.

The spelling of 481378688 in words is "four hundred eighty-one million, three hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 727 739 896 1454 1478 2908 2956 5089 5173 5816 5912 10178 10346 11632 11824 20356 20692 23264 23648 40712 41384 46528 47296 81424 82768 93056 94592 162848 165536 325696 331072 537253 651392 662144 1074506 2149012 3760771 4298024 7521542 8596048 15043084 17192096 30086168 34384192 60172336 68768384 120344672 240689344 481378688