Search a number
-
+
55151232 = 2733141113
BaseRepresentation
bin1101001001100…
…0101010000000
310211202222021020
43102120222000
5103104314412
65250025440
71236530523
oct322305200
9124688236
1055151232
1129149a34
1216578280
13b56cc86
147478bba
154c9618c
hex3498a80

55151232 has 128 divisors (see below), whose sum is σ = 156280320. Its totient is φ = 17203200.

The previous prime is 55151221. The next prime is 55151237. The reversal of 55151232 is 23215155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×551512322 = 6083316782235648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (55151237) 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, 488008 + ... + 488120.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 255151232 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 55151232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78140160).

55151232 is an abundant number, since it is smaller than the sum of its proper divisors (101129088).

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

55151232 is a wasteful number, since it uses less digits than its factorization.

55151232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its digits is 1500, while the sum is 24.

The square root of 55151232 is about 7426.3875471187. The cubic root of 55151232 is about 380.6434895745.

Adding to 55151232 its reverse (23215155), we get a palindrome (78366387).

The spelling of 55151232 in words is "fifty-five million, one hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 93 96 113 123 124 128 164 186 192 226 246 248 328 339 372 384 452 492 496 656 678 744 904 984 992 1271 1312 1356 1488 1808 1968 1984 2542 2624 2712 2976 3503 3616 3813 3936 3968 4633 5084 5248 5424 5952 7006 7232 7626 7872 9266 10168 10509 10848 11904 13899 14012 14464 15252 15744 18532 20336 21018 21696 27798 28024 30504 37064 40672 42036 43392 55596 56048 61008 74128 81344 84072 111192 112096 122016 143623 148256 162688 168144 222384 224192 244032 287246 296512 336288 430869 444768 448384 488064 574492 593024 672576 861738 889536 1148984 1345152 1723476 1779072 2297968 3446952 4595936 6893904 9191872 13787808 18383744 27575616 55151232