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53013744 = 2433747373
BaseRepresentation
bin1100101000111…
…0110011110000
310200202101012000
43022032303300
5102032414434
65132134000
71212416010
oct312166360
9120671160
1053013744
1127a1a013
1215907300
13aca20a4
14707dc40
1549c2b99
hex328ecf0

53013744 has 160 divisors (see below), whose sum is σ = 178083840. Its totient is φ = 14784768.

The previous prime is 53013733. The next prime is 53013757. The reversal of 53013744 is 44731035.

53013744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141942 + ... + 142314.

It is an arithmetic number, because the mean of its divisors is an integer number (1113024).

Almost surely, 253013744 is an apocalyptic number.

53013744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53013744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89041920).

53013744 is an abundant number, since it is smaller than the sum of its proper divisors (125070096).

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

53013744 is a wasteful number, since it uses less digits than its factorization.

53013744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

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

The square root of 53013744 is about 7281.0537698880. The cubic root of 53013744 is about 375.6610420444.

Adding to 53013744 its reverse (44731035), we get a palindrome (97744779).

It can be divided in two parts, 5301 and 3744, that added together give a triangular number (9045 = T134).

The spelling of 53013744 in words is "fifty-three million, thirteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 108 112 126 141 144 168 188 189 216 252 282 329 336 373 376 378 423 432 504 564 658 746 752 756 846 987 1008 1119 1128 1269 1316 1492 1512 1692 1974 2238 2256 2538 2611 2632 2961 2984 3024 3357 3384 3948 4476 5076 5222 5264 5922 5968 6714 6768 7833 7896 8883 8952 10071 10152 10444 11844 13428 15666 15792 17531 17766 17904 20142 20304 20888 23499 23688 26856 31332 35062 35532 40284 41776 46998 47376 52593 53712 62664 70124 70497 71064 80568 93996 105186 122717 125328 140248 140994 142128 157779 161136 187992 210372 245434 280496 281988 315558 368151 375984 420744 473337 490868 563976 631116 736302 841488 946674 981736 1104453 1127952 1262232 1472604 1893348 1963472 2208906 2524464 2945208 3313359 3786696 4417812 5890416 6626718 7573392 8835624 13253436 17671248 26506872 53013744