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148087512 = 233253151257
BaseRepresentation
bin10001101001110…
…10001011011000
3101022122121212200
420310322023120
5300402300022
622410010200
73445503006
oct1064721330
9338577780
10148087512
1176656381
1241716960
13248ac561
141594ba76
15d002bac
hex8d3a2d8

148087512 has 96 divisors (see below), whose sum is σ = 412944480. Its totient is φ = 47923200.

The previous prime is 148087483. The next prime is 148087559. The reversal of 148087512 is 215780841.

It is a super-2 number, since 2×1480875122 = 43859822420700288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 576088 + ... + 576344.

It is an arithmetic number, because the mean of its divisors is an integer number (4301505).

Almost surely, 2148087512 is an apocalyptic number.

148087512 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 148087512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206472240).

148087512 is an abundant number, since it is smaller than the sum of its proper divisors (264856968).

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

148087512 is a wasteful number, since it uses less digits than its factorization.

148087512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 148087512 is about 12169.1212501150. The cubic root of 148087512 is about 529.0614837241.

The spelling of 148087512 in words is "one hundred forty-eight million, eighty-seven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 151 159 212 257 302 318 424 453 477 514 604 636 771 906 954 1028 1208 1272 1359 1542 1812 1908 2056 2313 2718 3084 3624 3816 4626 5436 6168 8003 9252 10872 13621 16006 18504 24009 27242 32012 38807 40863 48018 54484 64024 72027 77614 81726 96036 108968 116421 122589 144054 155228 163452 192072 232842 245178 288108 310456 326904 349263 465684 490356 576216 698526 931368 980712 1397052 2056771 2794104 4113542 6170313 8227084 12340626 16454168 18510939 24681252 37021878 49362504 74043756 148087512