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69142528 = 211721353
BaseRepresentation
bin1000001111100…
…00100000000000
311211002210201101
410013300200000
5120200030103
610505544144
71466462500
oct407604000
9154083641
1069142528
1136035894
121b1a5054
131142b450
14927ba00
15610ba1d
hex41f0800

69142528 has 144 divisors (see below), whose sum is σ = 176461740. Its totient is φ = 26836992.

The previous prime is 69142477. The next prime is 69142547. The reversal of 69142528 is 82524196.

It can be written as a sum of positive squares in 2 ways, for example, as 68690944 + 451584 = 8288^2 + 672^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1304550 + ... + 1304602.

Almost surely, 269142528 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 69142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88230870).

69142528 is an abundant number, since it is smaller than the sum of its proper divisors (107319212).

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

69142528 is a wasteful number, since it uses less digits than its factorization.

69142528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 69142528 is about 8315.1986145852. The cubic root of 69142528 is about 410.4388083989.

The spelling of 69142528 in words is "sixty-nine million, one hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 53 56 64 91 98 104 106 112 128 182 196 208 212 224 256 364 371 392 416 424 448 512 637 689 728 742 784 832 848 896 1024 1274 1378 1456 1484 1568 1664 1696 1792 2048 2548 2597 2756 2912 2968 3136 3328 3392 3584 4823 5096 5194 5512 5824 5936 6272 6656 6784 7168 9646 10192 10388 11024 11648 11872 12544 13312 13568 14336 19292 20384 20776 22048 23296 23744 25088 26624 27136 33761 38584 40768 41552 44096 46592 47488 50176 54272 67522 77168 81536 83104 88192 93184 94976 100352 108544 135044 154336 163072 166208 176384 186368 189952 270088 308672 326144 332416 352768 379904 540176 617344 652288 664832 705536 759808 1080352 1234688 1304576 1329664 1411072 2160704 2469376 2659328 4321408 4938752 5318656 8642816 9877504 17285632 34571264 69142528