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484798464 = 2123213151
BaseRepresentation
bin11100111001010…
…111000000000000
31020210020022110200
4130321113000000
51443102022324
6120034525200
715004501413
oct3471270000
91223208420
10484798464
11229724297
12116436800
1379591ac7
1448559b7a
152c863ec9
hex1ce57000

484798464 has 78 divisors (see below), whose sum is σ = 1400464416. Its totient is φ = 161587200.

The previous prime is 484798463. The next prime is 484798477. The reversal of 484798464 is 464897484.

It is a self number, because there is not a number n which added to its sum of digits gives 484798464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484798463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30289 + ... + 43439.

It is an arithmetic number, because the mean of its divisors is an integer number (17954672).

Almost surely, 2484798464 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 484798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700232208).

484798464 is an abundant number, since it is smaller than the sum of its proper divisors (915665952).

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

484798464 is a wasteful number, since it uses less digits than its factorization.

484798464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13181 (or 13156 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 484798464 is about 22018.1394309329. The cubic root of 484798464 is about 785.5739586497.

The spelling of 484798464 in words is "four hundred eighty-four million, seven hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 13151 18432 26302 36864 39453 52604 78906 105208 118359 157812 210416 236718 315624 420832 473436 631248 841664 946872 1262496 1683328 1893744 2524992 3366656 3787488 5049984 6733312 7574976 10099968 13466624 15149952 20199936 26933248 30299904 40399872 53866496 60599808 80799744 121199616 161599488 242399232 484798464