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148505841 = 32112315383
BaseRepresentation
bin10001101101000…
…00010011110001
3101100102212201100
420312200103301
5301004141331
622422555013
73452164431
oct1066402361
9340385640
10148505841
1176911700
1241898a69
13249c7aa3
1415a1a2c1
15d086ae6
hex8da04f1

148505841 has 72 divisors (see below), whose sum is σ = 250967808. Its totient is φ = 84427200.

The previous prime is 148505837. The next prime is 148505849.

148505841 is a `hidden beast` number, since 148 + 505 + 8 + 4 + 1 = 666.

148505841 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 148505841 - 22 = 148505837 is a prime.

It is a super-2 number, since 2×1485058412 = 44107969622234562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 148505796 and 148505805.

It is not an unprimeable number, because it can be changed into a prime (148505849) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1789186 + ... + 1789268.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2148505841 is an apocalyptic number.

148505841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

148505841 is a deficient number, since it is larger than the sum of its proper divisors (102461967).

148505841 is a wasteful number, since it uses less digits than its factorization.

148505841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 148505841 is about 12186.2972637303. The cubic root of 148505841 is about 529.5591932263.

The spelling of 148505841 in words is "one hundred forty-eight million, five hundred five thousand, eight hundred forty-one".

Divisors: 1 3 9 11 31 33 53 83 93 99 121 159 249 279 341 363 477 583 747 913 1023 1089 1643 1749 2573 2739 3069 3751 4399 4929 5247 6413 7719 8217 10043 11253 13197 14787 18073 19239 23157 28303 30129 33759 39591 48389 54219 57717 84909 90387 136369 145167 162657 198803 254727 311333 409107 435501 532279 596409 933999 1227321 1500059 1596837 1789227 2801997 4500177 4790511 13500531 16500649 49501947 148505841