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534164544 = 26361072
BaseRepresentation
bin11111110101101…
…011010001000000
31101020010101000000
4133311223101000
52043221231134
6125001000000
716144216014
oct3765532100
91336111000
10534164544
11254581801
1212aa83000
13868877c4
1450d2a544
1531d65e99
hex1fd6b440

534164544 has 147 divisors (see below), whose sum is σ = 1604238727. Its totient is φ = 176390784.

The previous prime is 534164539. The next prime is 534164549. The reversal of 534164544 is 445461435.

The square root of 534164544 is 23112.

It is a perfect power (a square), and thus also a powerful number.

534164544 is a `hidden beast` number, since 5 + 3 + 4 + 1 + 645 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (534164539) and next prime (534164549).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 534164499 and 534164508.

It is not an unprimeable number, because it can be changed into a prime (534164549) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 4992139 + ... + 4992245.

Almost surely, 2534164544 is an apocalyptic number.

534164544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

534164544 is the 23112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534164544

534164544 is an abundant number, since it is smaller than the sum of its proper divisors (1070074183).

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

534164544 is an frugal number, since it uses more digits than its factorization.

534164544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 112 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The cubic root of 534164544 is about 811.3813466626.

Multiplying 534164544 by its sum of digits (36), we get a square (19229923584 = 1386722).

534164544 divided by its sum of digits (36) gives a square (14837904 = 38522).

The spelling of 534164544 in words is "five hundred thirty-four million, one hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 107 108 144 162 192 214 216 243 288 321 324 428 432 486 576 642 648 729 856 864 963 972 1284 1296 1458 1712 1728 1926 1944 2568 2592 2889 2916 3424 3852 3888 5136 5184 5778 5832 6848 7704 7776 8667 10272 11449 11556 11664 15408 15552 17334 20544 22898 23112 23328 26001 30816 34347 34668 45796 46224 46656 52002 61632 68694 69336 78003 91592 92448 103041 104004 137388 138672 156006 183184 184896 206082 208008 274776 277344 309123 312012 366368 412164 416016 549552 554688 618246 624024 732736 824328 832032 927369 1099104 1236492 1248048 1648656 1664064 1854738 2198208 2472984 2496096 2782107 3297312 3709476 4945968 4992192 5564214 6594624 7418952 8346321 9891936 11128428 14837904 16692642 19783872 22256856 29675808 33385284 44513712 59351616 66770568 89027424 133541136 178054848 267082272 534164544