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4625080092 = 22321931593697
BaseRepresentation
bin1000100111010110…
…10001111100011100
3102221022220102010200
410103223101330130
533433010030332
62042535303500
7222420350343
oct42353217434
912838812120
104625080092
111a63812146
12a90b1ab90
1358928baa9
1431c388b5a
151c109917c
hex113ad1f1c

4625080092 has 144 divisors (see below), whose sum is σ = 12922291200. Its totient is φ = 1389104640.

The previous prime is 4625080087. The next prime is 4625080093. The reversal of 4625080092 is 2900805264.

It is a happy number.

4625080092 is a `hidden beast` number, since 4 + 62 + 508 + 0 + 0 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4625080093) 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, 1249188 + ... + 1252884.

Almost surely, 24625080092 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 4625080092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461145600).

4625080092 is an abundant number, since it is smaller than the sum of its proper divisors (8297211108).

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

4625080092 is a wasteful number, since it uses less digits than its factorization.

4625080092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4625080092 is about 68007.9413892231. The cubic root of 4625080092 is about 1666.1205432202.

The spelling of 4625080092 in words is "four billion, six hundred twenty-five million, eighty thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 59 62 76 93 114 118 124 171 177 186 228 236 279 342 354 372 531 558 589 684 708 1062 1116 1121 1178 1767 1829 2124 2242 2356 3363 3534 3658 3697 4484 5301 5487 6726 7068 7316 7394 10089 10602 10974 11091 13452 14788 16461 20178 21204 21948 22182 32922 33273 34751 40356 44364 65844 66546 69502 70243 104253 114607 133092 139004 140486 208506 210729 218123 229214 280972 312759 343821 417012 421458 436246 458428 625518 632187 654369 687642 842916 872492 1031463 1251036 1264374 1308738 1375284 1963107 2062926 2177533 2528748 2617476 3926214 4125852 4144337 4355066 6532599 6761813 7852428 8288674 8710132 12433011 13065198 13523626 16577348 19597797 20285439 24866022 26130396 27047252 37299033 39195594 40570878 49732044 60856317 74598066 78391188 81141756 121712634 128474447 149196132 243425268 256948894 385423341 513897788 770846682 1156270023 1541693364 2312540046 4625080092