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53831680 = 21157751
BaseRepresentation
bin1100110101011…
…0100000000000
310202021221011221
43031112200000
5102240103210
65201444424
71222363450
oct315264000
9122257157
1053831680
11284285a1
1216040714
13b1ca486
147213d60
154ad51da
hex3356800

53831680 has 96 divisors (see below), whose sum is σ = 147813120. Its totient is φ = 18432000.

The previous prime is 53831677. The next prime is 53831681. The reversal of 53831680 is 8613835.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (53831681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71305 + ... + 72055.

It is an arithmetic number, because the mean of its divisors is an integer number (1539720).

Almost surely, 253831680 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 53831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73906560).

53831680 is an abundant number, since it is smaller than the sum of its proper divisors (93981440).

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

53831680 is an equidigital number, since it uses as much as digits as its factorization.

53831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 53831680 is about 7337.0075643957. The cubic root of 53831680 is about 377.5831841597.

The spelling of 53831680 in words is "fifty-three million, eight hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 751 896 1024 1120 1280 1502 1792 2048 2240 2560 3004 3584 3755 4480 5120 5257 6008 7168 7510 8960 10240 10514 12016 14336 15020 17920 21028 24032 26285 30040 35840 42056 48064 52570 60080 71680 84112 96128 105140 120160 168224 192256 210280 240320 336448 384512 420560 480640 672896 769024 841120 961280 1345792 1538048 1682240 1922560 2691584 3364480 3845120 5383168 6728960 7690240 10766336 13457920 26915840 53831680