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54999952 = 247231273
BaseRepresentation
bin1101000111001…
…1101110010000
310211111021202021
43101303232100
5103034444302
65242501224
71235330500
oct321635620
9124437667
1054999952
1129056307
1216504814
13b519167
147439a00
154c66437
hex3473b90

54999952 has 90 divisors (see below), whose sum is σ = 129842694. Its totient is φ = 22498560.

The previous prime is 54999943. The next prime is 55000013. The reversal of 54999952 is 25999945.

54999952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 48219136 + 6780816 = 6944^2 + 2604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54999952.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 753388 + ... + 753460.

Almost surely, 254999952 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 54999952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64921347).

54999952 is an abundant number, since it is smaller than the sum of its proper divisors (74842742).

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

54999952 is a wasteful number, since it uses less digits than its factorization.

54999952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 113 counting only the distinct ones).

The product of its digits is 1312200, while the sum is 52.

The square root of 54999952 is about 7416.1952509356. The cubic root of 54999952 is about 380.2951354448.

It can be divided in two parts, 5499 and 9952, that added together give a palindrome (15451).

The spelling of 54999952 in words is "fifty-four million, nine hundred ninety-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 73 98 112 124 146 196 217 248 292 392 434 496 511 584 784 868 961 1022 1168 1519 1736 1922 2044 2263 3038 3472 3577 3844 4088 4526 6076 6727 7154 7688 8176 9052 12152 13454 14308 15376 15841 18104 24304 26908 28616 31682 36208 47089 53816 57232 63364 70153 94178 107632 110887 126728 140306 188356 221774 253456 280612 376712 443548 491071 561224 753424 887096 982142 1122448 1774192 1964284 3437497 3928568 6874994 7857136 13749988 27499976 54999952