[go: up one dir, main page]

Search a number
-
+
55068992 = 26111923179
BaseRepresentation
bin1101001000010…
…0100101000000
310211121210110022
43102010211000
5103044201432
65244153012
71236035666
oct322044500
9124553408
1055068992
11290a3170
1216538768
13b541704
147456c36
154c7bb12
hex3484940

55068992 has 112 divisors (see below), whose sum is σ = 131673600. Its totient is φ = 22556160.

The previous prime is 55068991. The next prime is 55069009. The reversal of 55068992 is 29986055.

It is a super-3 number, since 3×550689923 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55068991) 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, 307559 + ... + 307737.

Almost surely, 255068992 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 55068992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65836800).

55068992 is an abundant number, since it is smaller than the sum of its proper divisors (76604608).

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

55068992 is a wasteful number, since it uses less digits than its factorization.

55068992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 44.

The square root of 55068992 is about 7420.8484690095. The cubic root of 55068992 is about 380.4541937522.

It can be divided in two parts, 550 and 68992, that multiplied together give a square (37945600 = 61602).

The spelling of 55068992 in words is "fifty-five million, sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 64 76 88 92 152 176 179 184 209 253 304 352 358 368 418 437 506 608 704 716 736 836 874 1012 1216 1432 1472 1672 1748 1969 2024 2864 3344 3401 3496 3938 4048 4117 4807 5728 6688 6802 6992 7876 8096 8234 9614 11456 13376 13604 13984 15752 16192 16468 19228 27208 27968 31504 32936 37411 38456 45287 54416 63008 65872 74822 76912 78223 90574 108832 126016 131744 149644 153824 156446 181148 217664 263488 299288 307648 312892 362296 598576 625784 724592 860453 1197152 1251568 1449184 1720906 2394304 2503136 2898368 3441812 5006272 6883624 13767248 27534496 55068992