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53795448 = 2333747757
BaseRepresentation
bin1100110100110…
…1101001111000
310202020002111000
43031031221320
5102232423243
65201005000
71222153020
oct315155170
9122202430
1053795448
1128403353
1216023760
13b1b6b35
147204a80
154ac95d3
hex334da78

53795448 has 128 divisors (see below), whose sum is σ = 174643200. Its totient is φ = 15023232.

The previous prime is 53795431. The next prime is 53795449. The reversal of 53795448 is 84459735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53795449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70686 + ... + 71442.

It is an arithmetic number, because the mean of its divisors is an integer number (1364400).

Almost surely, 253795448 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 53795448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87321600).

53795448 is an abundant number, since it is smaller than the sum of its proper divisors (120847752).

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

53795448 is a wasteful number, since it uses less digits than its factorization.

53795448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 816 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 53795448 is about 7334.5380222615. The cubic root of 53795448 is about 377.4984529855.

The spelling of 53795448 in words is "fifty-three million, seven hundred ninety-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 168 188 189 216 252 282 329 376 378 423 504 564 658 756 757 846 987 1128 1269 1316 1512 1514 1692 1974 2271 2538 2632 2961 3028 3384 3948 4542 5076 5299 5922 6056 6813 7896 8883 9084 10152 10598 11844 13626 15897 17766 18168 20439 21196 23688 27252 31794 35532 35579 40878 42392 47691 54504 63588 71064 71158 81756 95382 106737 127176 142316 143073 163512 190764 213474 249053 284632 286146 320211 381528 426948 498106 572292 640422 747159 853896 960633 996212 1144584 1280844 1494318 1921266 1992424 2241477 2561688 2988636 3842532 4482954 5977272 6724431 7685064 8965908 13448862 17931816 26897724 53795448