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562250480 = 245115411181
BaseRepresentation
bin100001100000110…
…100001011110000
31110011222021122212
4201200310023300
52122414003410
6131442551252
716635023141
oct4140641360
91404867585
10562250480
11269415120
12138368528
138c63c4bc
145495bac8
1534562b05
hex218342f0

562250480 has 80 divisors (see below), whose sum is σ = 1429917408. Its totient is φ = 203904000.

The previous prime is 562250477. The next prime is 562250497. The reversal of 562250480 is 84052265.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×5622504803 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 475490 + ... + 476670.

Almost surely, 2562250480 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 562250480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714958704).

562250480 is an abundant number, since it is smaller than the sum of its proper divisors (867666928).

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

562250480 is a wasteful number, since it uses less digits than its factorization.

562250480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 562250480 is about 23711.8215242946. The cubic root of 562250480 is about 825.3597353730.

The spelling of 562250480 in words is "five hundred sixty-two million, two hundred fifty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 541 880 1082 1181 2164 2362 2705 4328 4724 5410 5905 5951 8656 9448 10820 11810 11902 12991 18896 21640 23620 23804 25982 29755 43280 47240 47608 51964 59510 64955 94480 95216 103928 119020 129910 207856 238040 259820 476080 519640 638921 1039280 1277842 2555684 3194605 5111368 6389210 7028131 10222736 12778420 14056262 25556840 28112524 35140655 51113680 56225048 70281310 112450096 140562620 281125240 562250480