Search a number
-
+
455005044 = 22321323411031
BaseRepresentation
bin11011000111101…
…101001101110100
31011201011122120200
4123013231031310
51412440130134
6113052200500
714163323214
oct3307551564
91151148520
10455005044
1121392502a
12108469130
137335cb70
1444602244
1529e2b499
hex1b1ed374

455005044 has 144 divisors (see below), whose sum is σ = 1325286144. Its totient is φ = 130521600.

The previous prime is 455005043. The next prime is 455005069. The reversal of 455005044 is 440500554.

It is a junction number, because it is equal to n+sod(n) for n = 455004999 and 455005017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455005043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440809 + ... + 441839.

It is an arithmetic number, because the mean of its divisors is an integer number (9203376).

Almost surely, 2455005044 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 455005044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662643072).

455005044 is an abundant number, since it is smaller than the sum of its proper divisors (870281100).

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

455005044 is a wasteful number, since it uses less digits than its factorization.

455005044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 455005044 is about 21330.8472405575. The cubic root of 455005044 is about 769.1400102326.

Adding to 455005044 its reverse (440500554), we get a palindrome (895505598).

The spelling of 455005044 in words is "four hundred fifty-five million, five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 41 46 52 69 78 82 92 117 123 138 156 164 207 234 246 276 299 369 414 468 492 533 598 738 828 897 943 1031 1066 1196 1476 1599 1794 1886 2062 2132 2691 2829 3093 3198 3588 3772 4124 4797 5382 5658 6186 6396 8487 9279 9594 10764 11316 12259 12372 13403 16974 18558 19188 23713 24518 26806 33948 36777 37116 40209 42271 47426 49036 53612 71139 73554 80418 84542 94852 110331 120627 126813 142278 147108 160836 169084 213417 220662 241254 253626 284556 308269 380439 426834 441324 482508 507252 549523 616538 760878 853668 924807 972233 1099046 1233076 1521756 1648569 1849614 1944466 2198092 2774421 2916699 3297138 3699228 3888932 4945707 5548842 5833398 6594276 8750097 9891414 11097684 11666796 12639029 17500194 19782828 25278058 35000388 37917087 50556116 75834174 113751261 151668348 227502522 455005044