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245855412 = 223411101683
BaseRepresentation
bin11101010011101…
…11010010110100
3122010121202020000
432221313102310
51000414333122
640221311300
76043510425
oct1651672264
9563552200
10245855412
111168628a0
126a405530
133bc2109a
142491b64c
15168b60ac
hexea774b4

245855412 has 120 divisors (see below), whose sum is σ = 709121952. Its totient is φ = 73656000.

The previous prime is 245855369. The next prime is 245855431. The reversal of 245855412 is 214558542.

245855412 is a `hidden beast` number, since 24 + 585 + 54 + 1 + 2 = 666.

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

Its product of digits (64000) is a multiple of the sum of its prime divisors (800).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 359623 + ... + 360305.

Almost surely, 2245855412 is an apocalyptic number.

245855412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245855412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354560976).

245855412 is an abundant number, since it is smaller than the sum of its proper divisors (463266540).

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

245855412 is a wasteful number, since it uses less digits than its factorization.

245855412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 800 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The square root of 245855412 is about 15679.7771667840. Note that the first 3 decimals coincide. The cubic root of 245855412 is about 626.4598722883.

The spelling of 245855412 in words is "two hundred forty-five million, eight hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 101 108 132 162 198 202 297 303 324 396 404 594 606 683 891 909 1111 1188 1212 1366 1782 1818 2049 2222 2727 2732 3333 3564 3636 4098 4444 5454 6147 6666 7513 8181 8196 9999 10908 12294 13332 15026 16362 18441 19998 22539 24588 29997 30052 32724 36882 39996 45078 55323 59994 67617 68983 73764 89991 90156 110646 119988 135234 137966 179982 202851 206949 221292 270468 275932 359964 405702 413898 608553 620847 758813 811404 827796 1217106 1241694 1517626 1862541 2276439 2434212 2483388 3035252 3725082 4552878 5587623 6829317 7450164 9105756 11175246 13658634 20487951 22350492 27317268 40975902 61463853 81951804 122927706 245855412