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53714304 = 273276661
BaseRepresentation
bin1100110011100…
…1110110000000
310202001222011200
43030321312000
5102222324204
65155141200
71221364320
oct314716600
9122058150
1053714304
1128358396
1215ba4800
13b188c17
1471c3280
154ab0539
hex3339d80

53714304 has 96 divisors (see below), whose sum is σ = 176676240. Its totient is φ = 15344640.

The previous prime is 53714303. The next prime is 53714317. The reversal of 53714304 is 40341735.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53714303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4734 + ... + 11394.

Almost surely, 253714304 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 53714304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88338120).

53714304 is an abundant number, since it is smaller than the sum of its proper divisors (122961936).

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

53714304 is a wasteful number, since it uses less digits than its factorization.

53714304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6688 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 53714304 is about 7329.0042979930. The cubic root of 53714304 is about 377.3085537160.

It can be divided in two parts, 537 and 14304, that added together give a palindrome (14841).

The spelling of 53714304 in words is "fifty-three million, seven hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 6661 8064 13322 19983 26644 39966 46627 53288 59949 79932 93254 106576 119898 139881 159864 186508 213152 239796 279762 319728 373016 419643 426304 479592 559524 639456 746032 839286 852608 959184 1119048 1278912 1492064 1678572 1918368 2238096 2557824 2984128 3357144 3836736 4476192 5968256 6714288 7673472 8952384 13428576 17904768 26857152 53714304