Search a number
-
+
55066716 = 2235181313
BaseRepresentation
bin1101001000010…
…0000001011100
310211121200100000
43102010001130
5103044113331
65244134300
71236026235
oct322040134
9124550300
1055066716
11290a1491
1216537390
13b540673
14745608c
154c7b0e6
hex348405c

55066716 has 72 divisors (see below), whose sum is σ = 145613104. Its totient is φ = 18195840.

The previous prime is 55066709. The next prime is 55066717. The reversal of 55066716 is 61766055.

It is a happy number.

It is a super-2 number, since 2×550667162 = 6064686422049312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55066717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175776 + ... + 176088.

Almost surely, 255066716 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 55066716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72806552).

55066716 is an abundant number, since it is smaller than the sum of its proper divisors (90546388).

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

55066716 is a wasteful number, since it uses less digits than its factorization.

55066716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 55066716 is about 7420.6951156883. The cubic root of 55066716 is about 380.4489522927.

The spelling of 55066716 in words is "fifty-five million, sixty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 243 313 324 362 486 543 626 724 939 972 1086 1252 1629 1878 2172 2817 3258 3756 4887 5634 6516 8451 9774 11268 14661 16902 19548 25353 29322 33804 43983 50706 56653 58644 76059 87966 101412 113306 152118 169959 175932 226612 304236 339918 509877 679836 1019754 1529631 2039508 3059262 4588893 6118524 9177786 13766679 18355572 27533358 55066716