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148078272 = 2631814261
BaseRepresentation
bin10001101001101…
…11111011000000
3101022122011012110
420310313323000
5300402001042
622405455320
73445434036
oct1064677300
9338564173
10148078272
117664a441
1241711540
13248a82a4
1415948556
15d00009c
hex8d37ec0

148078272 has 56 divisors (see below), whose sum is σ = 394047472. Its totient is φ = 49075200.

The previous prime is 148078219. The next prime is 148078277. The reversal of 148078272 is 272870841.

148078272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 148078272.

It is not an unprimeable number, because it can be changed into a prime (148078277) 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, 32622 + ... + 36882.

It is an arithmetic number, because the mean of its divisors is an integer number (7036562).

Almost surely, 2148078272 is an apocalyptic number.

148078272 is a gapful number since it is divisible by the number (12) 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 148078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197023736).

148078272 is an abundant number, since it is smaller than the sum of its proper divisors (245969200).

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

148078272 is a wasteful number, since it uses less digits than its factorization.

148078272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 148078272 is about 12168.7415947583. The cubic root of 148078272 is about 529.0504798032.

The spelling of 148078272 in words is "one hundred forty-eight million, seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 543 724 1086 1448 2172 2896 4261 4344 5792 8522 8688 11584 12783 17044 17376 25566 34088 34752 51132 68176 102264 136352 204528 272704 409056 771241 818112 1542482 2313723 3084964 4627446 6169928 9254892 12339856 18509784 24679712 37019568 49359424 74039136 148078272