Search a number
-
+
55036044 = 22337431693
BaseRepresentation
bin1101000111110…
…0100010001100
310211120010021000
43101330202030
5103042123134
65243340300
71235540640
oct321744214
9124503230
1055036044
1129080438
1216521690
13b52c70b
147448c20
154c71e99
hex347c88c

55036044 has 96 divisors (see below), whose sum is σ = 166960640. Its totient is φ = 15349824.

The previous prime is 55036043. The next prime is 55036049. The reversal of 55036044 is 44063055.

55036044 is a `hidden beast` number, since 5 + 50 + 3 + 604 + 4 = 666.

It is a super-2 number, since 2×550360442 = 6057932278339872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55035999 and 55036017.

It is not an unprimeable number, because it can be changed into a prime (55036043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31662 + ... + 33354.

Almost surely, 255036044 is an apocalyptic number.

55036044 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55036044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83480320).

55036044 is an abundant number, since it is smaller than the sum of its proper divisors (111924596).

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

55036044 is a wasteful number, since it uses less digits than its factorization.

55036044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 55036044 is about 7418.6281750739. The cubic root of 55036044 is about 380.3783028555.

Adding to 55036044 its reverse (44063055), we get a palindrome (99099099).

The spelling of 55036044 in words is "fifty-five million, thirty-six thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1548 1693 1806 2322 2709 3386 3612 4644 5079 5418 6772 8127 10158 10836 11851 15237 16254 20316 23702 30474 32508 35553 45711 47404 60948 71106 72799 91422 106659 142212 145598 182844 213318 218397 291196 319977 426636 436794 509593 639954 655191 873588 1019186 1279908 1310382 1528779 1965573 2038372 2620764 3057558 3931146 4586337 6115116 7862292 9172674 13759011 18345348 27518022 55036044