Search a number
-
+
55390944 = 2537139593
BaseRepresentation
bin1101001101001…
…1001011100000
310212020011002110
43103103023200
5103140002234
65255115320
71241546430
oct323231340
9125204073
1055390944
11292a3044
1216672b40
13b62510b
1474dc2c0
154ce21e9
hex34d32e0

55390944 has 96 divisors (see below), whose sum is σ = 167650560. Its totient is φ = 15685632.

The previous prime is 55390921. The next prime is 55390949. The reversal of 55390944 is 44909355.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×553909442 = 6136313354422272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55390949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93112 + ... + 93704.

It is an arithmetic number, because the mean of its divisors is an integer number (1746360).

Almost surely, 255390944 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 55390944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83825280).

55390944 is an abundant number, since it is smaller than the sum of its proper divisors (112259616).

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

55390944 is a wasteful number, since it uses less digits than its factorization.

55390944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 55390944 is about 7442.5092542771. The cubic root of 55390944 is about 381.1941749669.

The spelling of 55390944 in words is "fifty-five million, three hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 278 336 417 556 593 672 834 973 1112 1186 1668 1779 1946 2224 2372 2919 3336 3558 3892 4151 4448 4744 5838 6672 7116 7784 8302 9488 11676 12453 13344 14232 15568 16604 18976 23352 24906 28464 31136 33208 46704 49812 56928 66416 82427 93408 99624 132832 164854 199248 247281 329708 398496 494562 576989 659416 989124 1153978 1318832 1730967 1978248 2307956 2637664 3461934 3956496 4615912 6923868 7912992 9231824 13847736 18463648 27695472 55390944