Search a number
-
+
54463696 = 2472127547
BaseRepresentation
bin1100111111000…
…0110011010000
310210111001010221
43033300303100
5102420314241
65223202424
71230635200
oct317606320
9123431127
1054463696
112881a421
12162a6414
13b38c051
14733a400
154bac5d1
hex33f0cd0

54463696 has 60 divisors (see below), whose sum is σ = 123944448. Its totient is φ = 23115456.

The previous prime is 54463691. The next prime is 54463723. The reversal of 54463696 is 69636445.

54463696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54463691) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 99295 + ... + 99841.

Almost surely, 254463696 is an apocalyptic number.

54463696 is a gapful number since it is divisible by the number (56) 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 54463696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61972224).

54463696 is an abundant number, since it is smaller than the sum of its proper divisors (69480752).

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

54463696 is a wasteful number, since it uses less digits than its factorization.

54463696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 683 counting only the distinct ones).

The product of its digits is 466560, while the sum is 43.

The square root of 54463696 is about 7379.9523033689. The cubic root of 54463696 is about 379.0551224814.

The spelling of 54463696 in words is "fifty-four million, four hundred sixty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 127 196 254 392 508 547 784 889 1016 1094 1778 2032 2188 3556 3829 4376 6223 7112 7658 8752 12446 14224 15316 24892 26803 30632 49784 53606 61264 69469 99568 107212 138938 214424 277876 428848 486283 555752 972566 1111504 1945132 3403981 3890264 6807962 7780528 13615924 27231848 54463696