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53616320 = 2651371223
BaseRepresentation
bin1100110010000…
…1111011000000
310201212222202122
43030201323000
5102211210240
65153103412
71220505542
oct314417300
9121788678
1053616320
11282a080a
1215b57b68
13b153444
147199692
154a914b5
hex3321ec0

53616320 has 56 divisors (see below), whose sum is σ = 128710944. Its totient is φ = 21272576.

The previous prime is 53616319. The next prime is 53616323. The reversal of 53616320 is 2361635.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53616320.

It is not an unprimeable number, because it can be changed into a prime (53616323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43229 + ... + 44451.

Almost surely, 253616320 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 53616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64355472).

53616320 is an abundant number, since it is smaller than the sum of its proper divisors (75094624).

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

53616320 is a wasteful number, since it uses less digits than its factorization.

53616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 53616320 is about 7322.3165733257. The cubic root of 53616320 is about 377.0789891410.

Adding to 53616320 its reverse (2361635), we get a palindrome (55977955).

The spelling of 53616320 in words is "fifty-three million, six hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 137 160 274 320 548 685 1096 1223 1370 2192 2446 2740 4384 4892 5480 6115 8768 9784 10960 12230 19568 21920 24460 39136 43840 48920 78272 97840 167551 195680 335102 391360 670204 837755 1340408 1675510 2680816 3351020 5361632 6702040 10723264 13404080 26808160 53616320