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54145152 = 273315667
BaseRepresentation
bin1100111010001…
…1000010000000
310202212212012000
43032203002000
5102330121102
65212304000
71225140405
oct316430200
9122785160
1054145152
1128622066
1216172000
13b2aa069
1472962ac
154b4801c
hex33a3080

54145152 has 64 divisors (see below), whose sum is σ = 159813600. Its totient is φ = 18047232.

The previous prime is 54145139. The next prime is 54145159. The reversal of 54145152 is 25154145.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (54145159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4378 + ... + 11289.

Almost surely, 254145152 is an apocalyptic number.

It is an amenable number.

54145152 is an abundant number, since it is smaller than the sum of its proper divisors (105668448).

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

54145152 is a wasteful number, since it uses less digits than its factorization.

54145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15690 (or 15672 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 54145152 is about 7358.3389429952. The cubic root of 54145152 is about 378.3146787536.

Adding to 54145152 its reverse (25154145), we get a palindrome (79299297).

The spelling of 54145152 in words is "fifty-four million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 15667 31334 47001 62668 94002 125336 141003 188004 250672 282006 376008 423009 501344 564012 752016 846018 1002688 1128024 1504032 1692036 2005376 2256048 3008064 3384072 4512096 6016128 6768144 9024192 13536288 18048384 27072576 54145152