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69838848 = 21134421
BaseRepresentation
bin1000010100110…
…10100000000000
311212102011220000
410022122200000
5120334320343
610532520000
71505422542
oct412324000
9155364800
1069838848
1136470a62
121b480000
1311613381
1493bd692
1561e7ed3
hex429a800

69838848 has 120 divisors (see below), whose sum is σ = 209098890. Its totient is φ = 23224320.

The previous prime is 69838829. The next prime is 69838849. The reversal of 69838848 is 84883896.

It can be written as a sum of positive squares in only one way, i.e., 69755904 + 82944 = 8352^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 69838794 and 69838803.

It is not an unprimeable number, because it can be changed into a prime (69838849) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 165678 + ... + 166098.

Almost surely, 269838848 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 69838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104549445).

69838848 is an abundant number, since it is smaller than the sum of its proper divisors (139260042).

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

69838848 is an equidigital number, since it uses as much as digits as its factorization.

69838848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 426 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 69838848 is about 8356.9640420430. The cubic root of 69838848 is about 411.8120234635.

The spelling of 69838848 in words is "sixty-nine million, eight hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 421 432 512 576 648 768 842 864 1024 1152 1263 1296 1536 1684 1728 2048 2304 2526 2592 3072 3368 3456 3789 4608 5052 5184 6144 6736 6912 7578 9216 10104 10368 11367 13472 13824 15156 18432 20208 20736 22734 26944 27648 30312 34101 40416 41472 45468 53888 55296 60624 68202 80832 82944 90936 107776 121248 136404 161664 165888 181872 215552 242496 272808 323328 363744 431104 484992 545616 646656 727488 862208 969984 1091232 1293312 1454976 1939968 2182464 2586624 2909952 3879936 4364928 5819904 7759872 8729856 11639808 17459712 23279616 34919424 69838848