Search a number
-
+
30084000048 = 243429800447
BaseRepresentation
bin11100000001001001…
…010110100100110000
32212122121100112210000
4130001021112210300
5443103001000143
621453112310000
72113336531644
oct340111264460
985577315700
1030084000048
11118386a7563
1259b70a2300
132ab58c607b
141655672c24
15bb11bcbd3
hex701256930

30084000048 has 100 divisors (see below), whose sum is σ = 90074413440. Its totient is φ = 9682194816.

The previous prime is 30083999987. The next prime is 30084000061. The reversal of 30084000048 is 84000048003.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30083999985 and 30084000030.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 362640 + ... + 437807.

Almost surely, 230084000048 is an apocalyptic number.

It is an amenable number.

30084000048 is an abundant number, since it is smaller than the sum of its proper divisors (59990413392).

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

30084000048 is a wasteful number, since it uses less digits than its factorization.

30084000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800496 (or 800481 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 30084000048 in words is "thirty billion, eighty-four million, forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2349 3132 4176 4698 6264 9396 12528 18792 37584 800447 1600894 2401341 3201788 4802682 6403576 7204023 9605364 12807152 14408046 19210728 21612069 23212963 28816092 38421456 43224138 46425926 57632184 64836207 69638889 86448276 92851852 115264368 129672414 139277778 172896552 185703704 208916667 259344828 278555556 345793104 371407408 417833334 518689656 557111112 626750001 835666668 1037379312 1114222224 1253500002 1671333336 1880250003 2507000004 3342666672 3760500006 5014000008 7521000012 10028000016 15042000024 30084000048