Search a number
-
+
54994752 = 2632307311
BaseRepresentation
bin1101000111001…
…0011101000000
310211111000121200
43101302131000
5103034313002
65242421200
71235306361
oct321623500
9124430550
1054994752
112905240a
1216501800
13b516997
147437b68
154c64b1c
hex3472740

54994752 has 84 divisors (see below), whose sum is σ = 158654496. Its totient is φ = 18213120.

The previous prime is 54994729. The next prime is 54994763. The reversal of 54994752 is 25749945.

It is a junction number, because it is equal to n+sod(n) for n = 54994698 and 54994707.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 176677 + ... + 176987.

It is an arithmetic number, because the mean of its divisors is an integer number (1888744).

Almost surely, 254994752 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 54994752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79327248).

54994752 is an abundant number, since it is smaller than the sum of its proper divisors (103659744).

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

54994752 is a wasteful number, since it uses less digits than its factorization.

54994752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 54994752 is about 7415.8446585672. The cubic root of 54994752 is about 380.2831499978.

The spelling of 54994752 in words is "fifty-four million, nine hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 307 311 576 614 622 921 933 1228 1244 1842 1866 2456 2488 2763 2799 3684 3732 4912 4976 5526 5598 7368 7464 9824 9952 11052 11196 14736 14928 19648 19904 22104 22392 29472 29856 44208 44784 58944 59712 88416 89568 95477 176832 179136 190954 286431 381908 572862 763816 859293 1145724 1527632 1718586 2291448 3055264 3437172 4582896 6110528 6874344 9165792 13748688 18331584 27497376 54994752