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525089664 = 27321123767
BaseRepresentation
bin11111010011000…
…011101110000000
31100121001022121100
4133103003232000
52033410332124
6124034254400
716004121441
oct3723035600
91317038540
10525089664
1124a443700
12127a27400
1384a2b058
144da472c8
15311721c9
hex1f4c3b80

525089664 has 144 divisors (see below), whose sum is σ = 1661292360. Its totient is φ = 159075840.

The previous prime is 525089611. The next prime is 525089671. The reversal of 525089664 is 466980525.

525089664 is a `hidden beast` number, since 52 + 508 + 96 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137509 + ... + 141275.

Almost surely, 2525089664 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 525089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830646180).

525089664 is an abundant number, since it is smaller than the sum of its proper divisors (1136202696).

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

525089664 is a wasteful number, since it uses less digits than its factorization.

525089664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 525089664 is about 22914.8350201349. The cubic root of 525089664 is about 806.7602462602.

The spelling of 525089664 in words is "five hundred twenty-five million, eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1936 2112 2178 2904 3168 3767 3872 4224 4356 5808 6336 7534 7744 8712 11301 11616 12672 15068 15488 17424 22602 23232 30136 33903 34848 41437 45204 46464 60272 67806 69696 82874 90408 120544 124311 135612 139392 165748 180816 241088 248622 271224 331496 361632 372933 455807 482176 497244 542448 662992 723264 745866 911614 994488 1084896 1325984 1367421 1446528 1491732 1823228 1988976 2169792 2651968 2734842 2983464 3646456 3977952 4102263 4339584 5303936 5469684 5966928 7292912 7955904 8204526 10939368 11933856 14585824 15911808 16409052 21878736 23867712 29171648 32818104 43757472 47735424 58343296 65636208 87514944 131272416 175029888 262544832 525089664