Search a number
-
+
56672154 = 232711311319
BaseRepresentation
bin1101100000101…
…1111110011010
310221122020120200
43120023332122
5104002002104
65342403030
71255463640
oct330137632
9127566520
1056672154
1129a986a0
1216b90476
13b983326
147753190
154e96b39
hex360bf9a

56672154 has 96 divisors (see below), whose sum is σ = 158146560. Its totient is φ = 14234400.

The previous prime is 56672141. The next prime is 56672159. The reversal of 56672154 is 45127665.

It is a happy number.

It is a super-3 number, since 3×566721543 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56672159) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42307 + ... + 43625.

It is an arithmetic number, because the mean of its divisors is an integer number (1647360).

Almost surely, 256672154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56672154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79073280).

56672154 is an abundant number, since it is smaller than the sum of its proper divisors (101474406).

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

56672154 is a wasteful number, since it uses less digits than its factorization.

56672154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1373 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 56672154 is about 7528.0909930739. The cubic root of 56672154 is about 384.1108485323.

The spelling of 56672154 in words is "fifty-six million, six hundred seventy-two thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 42 62 63 66 77 93 99 126 154 186 198 217 231 279 341 434 462 558 651 682 693 1023 1302 1319 1386 1953 2046 2387 2638 3069 3906 3957 4774 6138 7161 7914 9233 11871 14322 14509 18466 21483 23742 27699 29018 40889 42966 43527 55398 81778 83097 87054 101563 122667 130581 166194 203126 245334 261162 286223 304689 368001 449779 572446 609378 736002 858669 899558 914067 1349337 1717338 1828134 2576007 2698674 3148453 4048011 5152014 6296906 8096022 9445359 18890718 28336077 56672154