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54135396 = 22327230689
BaseRepresentation
bin1100111010000…
…0101001100100
310202212100210200
43032200221210
5102324313041
65212150500
71225100100
oct316405144
9122770720
1054135396
11286157a7
1216168430
13b2a57a3
147292900
154b451b6
hex33a0a64

54135396 has 54 divisors (see below), whose sum is σ = 159189030. Its totient is φ = 15466752.

The previous prime is 54135379. The next prime is 54135421. The reversal of 54135396 is 69353145.

It can be written as a sum of positive squares in only one way, i.e., 54022500 + 112896 = 7350^2 + 336^2 .

It is a super-2 number, since 2×541353962 = 5861282200153632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54135396.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 13581 + ... + 17108.

It is an arithmetic number, because the mean of its divisors is an integer number (2947945).

Almost surely, 254135396 is an apocalyptic number.

It is an amenable number.

54135396 is an abundant number, since it is smaller than the sum of its proper divisors (105053634).

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

54135396 is a wasteful number, since it uses less digits than its factorization.

54135396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30713 (or 30701 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 54135396 is about 7357.6759917789. The cubic root of 54135396 is about 378.2919555145.

It can be divided in two parts, 541 and 35396, that added together give a cube (35937 = 333).

The spelling of 54135396 in words is "fifty-four million, one hundred thirty-five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 30689 61378 92067 122756 184134 214823 276201 368268 429646 552402 644469 859292 1104804 1288938 1503761 1933407 2577876 3007522 3866814 4511283 6015044 7733628 9022566 13533849 18045132 27067698 54135396