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148282452 = 223229173821
BaseRepresentation
bin10001101011010…
…01110001010100
3101100000112021200
420311221301110
5300430014302
622414112500
73450244233
oct1065516124
9340015250
10148282452
117677988a
12417ab730
132494a1c6
141599cb1a
15d04081c
hex8d69c54

148282452 has 72 divisors (see below), whose sum is σ = 390466440. Its totient is φ = 47389440.

The previous prime is 148282439. The next prime is 148282471. The reversal of 148282452 is 254282841.

It can be written as a sum of positive squares in 4 ways, for example, as 37527876 + 110754576 = 6126^2 + 10524^2 .

It is a super-2 number, since 2×1482824522 = 43975371142264608, 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, 180202 + ... + 181022.

It is an arithmetic number, because the mean of its divisors is an integer number (5423145).

Almost surely, 2148282452 is an apocalyptic number.

148282452 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 148282452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195233220).

148282452 is an abundant number, since it is smaller than the sum of its proper divisors (242183988).

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

148282452 is a wasteful number, since it uses less digits than its factorization.

148282452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1028 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 148282452 is about 12177.1282328799. The cubic root of 148282452 is about 529.2935312527.

The spelling of 148282452 in words is "one hundred forty-eight million, two hundred eighty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 173 174 261 346 348 519 522 692 821 1038 1044 1557 1642 2076 2463 3114 3284 4926 5017 6228 7389 9852 10034 14778 15051 20068 23809 29556 30102 45153 47618 60204 71427 90306 95236 142033 142854 180612 214281 284066 285708 426099 428562 568132 852198 857124 1278297 1704396 2556594 4118957 5113188 8237914 12356871 16475828 24713742 37070613 49427484 74141226 148282452