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148282764 = 223719531753
BaseRepresentation
bin10001101011010…
…01110110001100
3101100000112201020
420311221312030
5300430022024
622414114140
73450245160
oct1065516614
9340015636
10148282764
117677a043
12417ab950
132494a3a6
141599cca0
15d040979
hex8d69d8c

148282764 has 96 divisors (see below), whose sum is σ = 424327680. Its totient is φ = 39356928.

The previous prime is 148282759. The next prime is 148282801. The reversal of 148282764 is 467282841.

148282764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83712 + ... + 85464.

It is an arithmetic number, because the mean of its divisors is an integer number (4420080).

Almost surely, 2148282764 is an apocalyptic number.

148282764 is a gapful number since it is divisible by the number (14) 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 148282764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212163840).

148282764 is an abundant number, since it is smaller than the sum of its proper divisors (276044916).

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

148282764 is a wasteful number, since it uses less digits than its factorization.

148282764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1837 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 148282764 is about 12177.1410437754. The cubic root of 148282764 is about 529.2939024799.

The spelling of 148282764 in words is "one hundred forty-eight million, two hundred eighty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 53 57 76 84 106 114 133 159 212 228 266 318 371 399 532 636 742 798 1007 1113 1484 1596 1753 2014 2226 3021 3506 4028 4452 5259 6042 7012 7049 10518 12084 12271 14098 21036 21147 24542 28196 33307 36813 42294 49084 66614 73626 84588 92909 99921 133228 147252 185818 199842 233149 278727 371636 399684 466298 557454 650363 699447 932596 1114908 1300726 1398894 1765271 1951089 2601452 2797788 3530542 3902178 5295813 7061084 7804356 10591626 12356897 21183252 24713794 37070691 49427588 74141382 148282764