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148505805 = 355719919
BaseRepresentation
bin10001101101000…
…00010011001101
3101100102212200000
420312200103031
5301004141210
622422554513
73452164350
oct1066402315
9340385600
10148505805
1176911678
1241898a39
13249c7a76
1415a1a297
15d086ac0
hex8da04cd

148505805 has 96 divisors (see below), whose sum is σ = 321484800. Its totient is φ = 64245312.

The previous prime is 148505803. The next prime is 148505821. The reversal of 148505805 is 508505841.

148505805 is a `hidden beast` number, since 148 + 505 + 8 + 0 + 5 = 666.

It is not a de Polignac number, because 148505805 - 21 = 148505803 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 148505805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148505803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161136 + ... + 162054.

It is an arithmetic number, because the mean of its divisors is an integer number (3348800).

Almost surely, 2148505805 is an apocalyptic number.

148505805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148505805 is an abundant number, since it is smaller than the sum of its proper divisors (172978995).

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

148505805 is an equidigital number, since it uses as much as digits as its factorization.

148505805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 148505805 is about 12186.2957866613. The cubic root of 148505805 is about 529.5591504353.

Adding to 148505805 its sum of digits (36), we get a palindrome (148505841).

The spelling of 148505805 in words is "one hundred forty-eight million, five hundred five thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 81 95 105 133 135 171 189 243 285 315 399 405 513 567 665 855 919 945 1197 1215 1539 1701 1995 2565 2757 2835 3591 4595 4617 5985 6433 7695 8271 8505 10773 13785 17461 17955 19299 23085 24813 32165 32319 41355 52383 53865 57897 74439 87305 96495 122227 124065 157149 161595 173691 223317 261915 289485 366681 372195 471447 521073 611135 785745 868455 1100043 1116585 1414341 1563219 1833405 2357235 2605365 3300129 4243023 5500215 7071705 7816095 9900387 16500645 21215115 29701161 49501935 148505805