Search a number
-
+
54634650 = 2352761853
BaseRepresentation
bin1101000001101…
…0100010011010
310210210201122120
43100122202122
5102441302100
65231002110
71232246460
oct320324232
9123721576
1054634650
1128926904
1216369336
13b41bac5
147382830
154be30a0
hex341a89a

54634650 has 96 divisors (see below), whose sum is σ = 157573248. Its totient is φ = 12268800.

The previous prime is 54634631. The next prime is 54634663. The reversal of 54634650 is 5643645.

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 47 ways as a sum of consecutive naturals, for example, 63624 + ... + 64476.

It is an arithmetic number, because the mean of its divisors is an integer number (1641388).

Almost surely, 254634650 is an apocalyptic number.

54634650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54634650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78786624).

54634650 is an abundant number, since it is smaller than the sum of its proper divisors (102938598).

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

54634650 is a wasteful number, since it uses less digits than its factorization.

54634650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 54634650 is about 7391.5255529559. The cubic root of 54634650 is about 379.4513087591.

The spelling of 54634650 in words is "fifty-four million, six hundred thirty-four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 61 70 75 105 122 150 175 183 210 305 350 366 427 525 610 853 854 915 1050 1281 1525 1706 1830 2135 2559 2562 3050 4265 4270 4575 5118 5971 6405 8530 9150 10675 11942 12795 12810 17913 21325 21350 25590 29855 32025 35826 42650 52033 59710 63975 64050 89565 104066 127950 149275 156099 179130 260165 298550 312198 364231 447825 520330 728462 780495 895650 1092693 1300825 1560990 1821155 2185386 2601650 3642310 3902475 5463465 7804950 9105775 10926930 18211550 27317325 54634650