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148478208 = 2831031877
BaseRepresentation
bin10001101100110…
…01100100000000
3101100101110210220
420312121210000
5301002300313
622422223040
73452021034
oct1066314400
9340343726
10148478208
11768a296a
1241884a80
13249b8338
1415a101c4
15d07d823
hex8d99900

148478208 has 72 divisors (see below), whose sum is σ = 399217728. Its totient is φ = 48986112.

The previous prime is 148478201. The next prime is 148478237. The reversal of 148478208 is 802874841.

It is a self number, because there is not a number n which added to its sum of digits gives 148478208.

It is not an unprimeable number, because it can be changed into a prime (148478201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78166 + ... + 80042.

Almost surely, 2148478208 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 148478208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199608864).

148478208 is an abundant number, since it is smaller than the sum of its proper divisors (250739520).

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

148478208 is a wasteful number, since it uses less digits than its factorization.

148478208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 148478208 is about 12185.1634375580. The cubic root of 148478208 is about 529.5263455466.

The spelling of 148478208 in words is "one hundred forty-eight million, four hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 618 768 824 1236 1648 1877 2472 3296 3754 4944 5631 6592 7508 9888 11262 13184 15016 19776 22524 26368 30032 39552 45048 60064 79104 90096 120128 180192 193331 240256 360384 386662 480512 579993 720768 773324 1159986 1441536 1546648 2319972 3093296 4639944 6186592 9279888 12373184 18559776 24746368 37119552 49492736 74239104 148478208