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54136032 = 2533715241
BaseRepresentation
bin1100111010000…
…0110011100000
310202212101200020
43032200303200
5102324323112
65212153440
71225101666
oct316406340
9122771606
1054136032
1128616225
1216168880
13b2a5b72
147292c36
154b4548c
hex33a0ce0

54136032 has 48 divisors (see below), whose sum is σ = 145957392. Its totient is φ = 17556480.

The previous prime is 54135989. The next prime is 54136037. The reversal of 54136032 is 23063145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 54135993 and 54136011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54136037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4069 + ... + 11172.

It is an arithmetic number, because the mean of its divisors is an integer number (3040779).

Almost surely, 254136032 is an apocalyptic number.

It is an amenable number.

54136032 is an abundant number, since it is smaller than the sum of its proper divisors (91821360).

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

54136032 is a wasteful number, since it uses less digits than its factorization.

54136032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15291 (or 15283 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 54136032 is about 7357.7192118210. The cubic root of 54136032 is about 378.2934369404.

Adding to 54136032 its reverse (23063145), we get a palindrome (77199177).

The spelling of 54136032 in words is "fifty-four million, one hundred thirty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 15241 30482 45723 60964 91446 121928 182892 243856 365784 487712 563917 731568 1127834 1463136 1691751 2255668 3383502 4511336 6767004 9022672 13534008 18045344 27068016 54136032