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54399436 = 22713199751
BaseRepresentation
bin1100111110000…
…1000111001100
310210100202222221
43033201013030
5102411240221
65221545124
71230246640
oct317410714
9123322887
1054399436
1128786113
12162751a4
13b368a20
147320c20
154b98541
hex33e11cc

54399436 has 48 divisors (see below), whose sum is σ = 117913600. Its totient is φ = 21384000.

The previous prime is 54399431. The next prime is 54399437. The reversal of 54399436 is 63499345.

54399436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (349920) is a multiple of the sum of its prime divisors (972).

It is a junction number, because it is equal to n+sod(n) for n = 54399392 and 54399401.

It is not an unprimeable number, because it can be changed into a prime (54399431) 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 15 ways as a sum of consecutive naturals, for example, 72061 + ... + 72811.

Almost surely, 254399436 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 54399436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58956800).

54399436 is an abundant number, since it is smaller than the sum of its proper divisors (63514164).

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

54399436 is a wasteful number, since it uses less digits than its factorization.

54399436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 972 counting only the distinct ones).

The product of its digits is 349920, while the sum is 43.

The square root of 54399436 is about 7375.5973317420. The cubic root of 54399436 is about 378.9059854108.

Subtracting 54399436 from its reverse (63499345), we obtain a palindrome (9099909).

The spelling of 54399436 in words is "fifty-four million, three hundred ninety-nine thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 199 364 398 751 796 1393 1502 2587 2786 3004 5174 5257 5572 9763 10348 10514 18109 19526 21028 36218 39052 68341 72436 136682 149449 273364 298898 597796 1046143 1942837 2092286 3885674 4184572 7771348 13599859 27199718 54399436