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148990512 = 243111811559
BaseRepresentation
bin10001110000101…
…10101000110000
3101101100111120010
420320112220300
5301120144022
622441214520
73456253446
oct1070265060
9341314503
10148990512
1177112860
1241a91440
1324b37588
1415b04b96
15d13050c
hex8e16a30

148990512 has 80 divisors (see below), whose sum is σ = 422472960. Its totient is φ = 44870400.

The previous prime is 148990511. The next prime is 148990531. The reversal of 148990512 is 215099841.

It is not an unprimeable number, because it can be changed into a prime (148990511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 94789 + ... + 96347.

It is an arithmetic number, because the mean of its divisors is an integer number (5280912).

Almost surely, 2148990512 is an apocalyptic number.

148990512 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 148990512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211236480).

148990512 is an abundant number, since it is smaller than the sum of its proper divisors (273482448).

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

148990512 is a wasteful number, since it uses less digits than its factorization.

148990512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 148990512 is about 12206.1669659234. The cubic root of 148990512 is about 530.1346661480.

The spelling of 148990512 in words is "one hundred forty-eight million, nine hundred ninety thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 181 264 362 528 543 724 1086 1448 1559 1991 2172 2896 3118 3982 4344 4677 5973 6236 7964 8688 9354 11946 12472 15928 17149 18708 23892 24944 31856 34298 37416 47784 51447 68596 74832 95568 102894 137192 205788 274384 282179 411576 564358 823152 846537 1128716 1693074 2257432 3103969 3386148 4514864 6207938 6772296 9311907 12415876 13544592 18623814 24831752 37247628 49663504 74495256 148990512