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148096256 = 287112683
BaseRepresentation
bin10001101001111…
…00010100000000
3101022200001212112
420310330110000
5300403040011
622410114452
73445540340
oct1064742400
9338601775
10148096256
1176661a00
124171ba28
13248b3529
1415950d20
15d00558b
hex8d3c500

148096256 has 108 divisors (see below), whose sum is σ = 371893536. Its totient is φ = 57615360.

The previous prime is 148096217. The next prime is 148096259. The reversal of 148096256 is 652690841.

It is a happy number.

148096256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148096259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216491 + ... + 217173.

Almost surely, 2148096256 is an apocalyptic number.

148096256 is a gapful number since it is divisible by the number (16) 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 148096256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185946768).

148096256 is an abundant number, since it is smaller than the sum of its proper divisors (223797280).

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

148096256 is an equidigital number, since it uses as much as digits as its factorization.

148096256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 148096256 is about 12169.4805147960. The cubic root of 148096256 is about 529.0718965368.

The spelling of 148096256 in words is "one hundred forty-eight million, ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 352 448 484 616 683 704 847 896 968 1232 1366 1408 1694 1792 1936 2464 2732 2816 3388 3872 4781 4928 5464 6776 7513 7744 9562 9856 10928 13552 15026 15488 19124 19712 21856 27104 30052 30976 38248 43712 52591 54208 60104 76496 82643 87424 105182 108416 120208 152992 165286 174848 210364 216832 240416 305984 330572 420728 480832 578501 611968 661144 841456 961664 1157002 1223936 1322288 1682912 1923328 2314004 2644576 3365824 4628008 5289152 6731648 9256016 10578304 13463296 18512032 21156608 37024064 74048128 148096256