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481898048 = 26175361137
BaseRepresentation
bin11100101110010…
…010111001000000
31020120202221211212
4130232102321000
51441331214143
6115452425252
714641031402
oct3456227100
91216687755
10481898048
11228023155
12115478228
1378ab7898
1448002b72
152c48e918
hex1cb92e40

481898048 has 112 divisors (see below), whose sum is σ = 1056186864. Its totient is φ = 217251840.

The previous prime is 481898029. The next prime is 481898059. The reversal of 481898048 is 840898184.

It can be written as a sum of positive squares in 8 ways, for example, as 7744 + 481890304 = 88^2 + 21952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 481897987 and 481898005.

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 15 ways as a sum of consecutive naturals, for example, 3517436 + ... + 3517572.

Almost surely, 2481898048 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 481898048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528093432).

481898048 is an abundant number, since it is smaller than the sum of its proper divisors (574288816).

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

481898048 is a wasteful number, since it uses less digits than its factorization.

481898048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 50.

The square root of 481898048 is about 21952.1763841310. The cubic root of 481898048 is about 784.0041996165.

The spelling of 481898048 in words is "four hundred eighty-one million, eight hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 61 64 68 106 122 136 137 212 244 272 274 424 488 544 548 848 901 976 1037 1088 1096 1696 1802 1952 2074 2192 2329 3233 3392 3604 3904 4148 4384 4658 6466 7208 7261 8296 8357 8768 9316 12932 14416 14522 16592 16714 18632 25864 28832 29044 33184 33428 37264 51728 54961 57664 58088 66368 66856 74528 103456 109922 116176 123437 133712 142069 149056 206912 219844 232352 246874 267424 284138 439688 442921 464704 493748 534848 568276 879376 885842 987496 1136552 1758752 1771684 1974992 2273104 3517504 3543368 3949984 4546208 7086736 7529657 7899968 9092416 14173472 15059314 28346944 30118628 60237256 120474512 240949024 481898048