Search a number
-
+
55516344 = 23313612917
BaseRepresentation
bin1101001111000…
…1110010111000
310212110112002220
43103301302320
5103203010334
65301524040
71242611142
oct323616270
9125415086
1055516344
1129379284
1216713620
13b66a210
147531c92
154d19449
hex34f1cb8

55516344 has 64 divisors (see below), whose sum is σ = 151969440. Its totient is φ = 16796160.

The previous prime is 55516343. The next prime is 55516361. The reversal of 55516344 is 44361555.

It is a super-2 number, since 2×555163442 = 6164128902252672, which contains 22 as substring.

Its product of digits (36000) is a multiple of the sum of its prime factors (3000).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55516343) 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, 17574 + ... + 20490.

Almost surely, 255516344 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 55516344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75984720).

55516344 is an abundant number, since it is smaller than the sum of its proper divisors (96453096).

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

55516344 is a wasteful number, since it uses less digits than its factorization.

55516344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2996 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 55516344 is about 7450.9290695859. The cubic root of 55516344 is about 381.4816210033.

Adding to 55516344 its reverse (44361555), we get a palindrome (99877899).

The spelling of 55516344 in words is "fifty-five million, five hundred sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1464 1586 2379 2917 3172 4758 5834 6344 8751 9516 11668 17502 19032 23336 35004 37921 70008 75842 113763 151684 177937 227526 303368 355874 455052 533811 711748 910104 1067622 1423496 2135244 2313181 4270488 4626362 6939543 9252724 13879086 18505448 27758172 55516344