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148641712 = 24194383137
BaseRepresentation
bin10001101110000…
…01011110110000
3101100200210002121
420313001132300
5301023013322
622425524024
73453301522
oct1067013660
9340623077
10148641712
11769a479a
1241943614
1324a4489b
1415a53a12
15d0b1ec7
hex8dc17b0

148641712 has 80 divisors (see below), whose sum is σ = 316229760. Its totient is φ = 67447296.

The previous prime is 148641707. The next prime is 148641719. The reversal of 148641712 is 217146841.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (148641719) by changing a digit.

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, 1084908 + ... + 1085044.

It is an arithmetic number, because the mean of its divisors is an integer number (3952872).

Almost surely, 2148641712 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 148641712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158114880).

148641712 is an abundant number, since it is smaller than the sum of its proper divisors (167588048).

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

148641712 is a wasteful number, since it uses less digits than its factorization.

148641712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 148641712 is about 12191.8707342229. The cubic root of 148641712 is about 529.7206454727.

The spelling of 148641712 in words is "one hundred forty-eight million, six hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 19 38 43 76 83 86 137 152 166 172 274 304 332 344 548 664 688 817 1096 1328 1577 1634 2192 2603 3154 3268 3569 5206 5891 6308 6536 7138 10412 11371 11782 12616 13072 14276 20824 22742 23564 25232 28552 41648 45484 47128 57104 67811 90968 94256 111929 135622 181936 216049 223858 271244 432098 447716 488953 542488 864196 895432 977906 1084976 1728392 1790864 1955812 3456784 3911624 7823248 9290107 18580214 37160428 74320856 148641712