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148937328 = 243223193233
BaseRepresentation
bin10001110000010…
…01101001110000
3101101020210121100
420320021221300
5301111443303
622440124400
73455642421
oct1070115160
9341223540
10148937328
1177086901
1241a66700
1324b192c7
1415acd648
15d11e8a3
hex8e09a70

148937328 has 120 divisors (see below), whose sum is σ = 439070112. Its totient is φ = 47038464.

The previous prime is 148937309. The next prime is 148937353. The reversal of 148937328 is 823739841.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639100 + ... + 639332.

Almost surely, 2148937328 is an apocalyptic number.

148937328 is a gapful number since it is divisible by the number (18) 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 148937328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219535056).

148937328 is an abundant number, since it is smaller than the sum of its proper divisors (290132784).

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

148937328 is a wasteful number, since it uses less digits than its factorization.

148937328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 148937328 is about 12203.9882005843. The cubic root of 148937328 is about 530.0715792727.

The spelling of 148937328 in words is "one hundred forty-eight million, nine hundred thirty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 193 207 233 276 368 386 414 466 552 579 699 772 828 932 1104 1158 1398 1544 1656 1737 1864 2097 2316 2796 3088 3312 3474 3728 4194 4439 4632 5359 5592 6948 8388 8878 9264 10718 11184 13317 13896 16077 16776 17756 21436 26634 27792 32154 33552 35512 39951 42872 44969 48231 53268 64308 71024 79902 85744 89938 96462 106536 128616 134907 159804 179876 192924 213072 257232 269814 319608 359752 385848 404721 539628 639216 719504 771696 809442 1034287 1079256 1618884 2068574 2158512 3102861 3237768 4137148 6205722 6475536 8274296 9308583 12411444 16548592 18617166 24822888 37234332 49645776 74468664 148937328