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53738304 = 2632343283
BaseRepresentation
bin1100110011111…
…1101101000000
310202010012002120
43030333231000
5102224111204
65155444240
71221524304
oct314775500
9122105076
1053738304
1128374424
1215bb6680
13b196b19
1471cbd04
154ab76d9
hex333fb40

53738304 has 112 divisors (see below), whose sum is σ = 152351232. Its totient is φ = 16676352.

The previous prime is 53738303. The next prime is 53738323. The reversal of 53738304 is 40383735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53738303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189747 + ... + 190029.

Almost surely, 253738304 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 53738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76175616).

53738304 is an abundant number, since it is smaller than the sum of its proper divisors (98612928).

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

53738304 is a wasteful number, since it uses less digits than its factorization.

53738304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 53738304 is about 7330.6414453307. The cubic root of 53738304 is about 377.3647402205.

The spelling of 53738304 in words is "fifty-three million, seven hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 64 69 86 92 96 129 138 172 184 192 258 276 283 344 368 516 552 566 688 736 849 989 1032 1104 1132 1376 1472 1698 1978 2064 2208 2264 2752 2967 3396 3956 4128 4416 4528 5934 6509 6792 7912 8256 9056 11868 12169 13018 13584 15824 18112 19527 23736 24338 26036 27168 31648 36507 39054 47472 48676 52072 54336 63296 73014 78108 94944 97352 104144 146028 156216 189888 194704 208288 279887 292056 312432 389408 416576 559774 584112 624864 778816 839661 1119548 1168224 1249728 1679322 2239096 2336448 3358644 4478192 6717288 8956384 13434576 17912768 26869152 53738304