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53744352 = 253737669
BaseRepresentation
bin1100110100000…
…1001011100000
310202010111101120
43031001023200
5102224304402
65155532240
71221551034
oct315011340
9122114346
1053744352
1128378a22
1215bba080
13b1997bc
1471d01c4
154ab93bc
hex33412e0

53744352 has 48 divisors (see below), whose sum is σ = 143030160. Its totient is φ = 17667072.

The previous prime is 53744333. The next prime is 53744363. The reversal of 53744352 is 25344735.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3174 + ... + 10842.

It is an arithmetic number, because the mean of its divisors is an integer number (2979795).

Almost surely, 253744352 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 53744352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71515080).

53744352 is an abundant number, since it is smaller than the sum of its proper divisors (89285808).

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

53744352 is a wasteful number, since it uses less digits than its factorization.

53744352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7755 (or 7747 counting only the distinct ones).

The product of its digits is 50400, while the sum is 33.

The square root of 53744352 is about 7331.0539487853. The cubic root of 53744352 is about 377.3788965805.

The spelling of 53744352 in words is "fifty-three million, seven hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 7669 15338 23007 30676 46014 61352 92028 122704 184056 245408 368112 559837 736224 1119674 1679511 2239348 3359022 4478696 6718044 8957392 13436088 17914784 26872176 53744352