Search a number
-
+
148539825 = 355272499
BaseRepresentation
bin10001101101010…
…00100110110001
3101100111121100000
420312220212301
5301011233300
622423420213
73452365500
oct1066504661
9340447300
10148539825
1176935195
12418b4669
1324a0a3b5
1415a28837
15d091c00
hex8da89b1

148539825 has 108 divisors (see below), whose sum is σ = 321594000. Its totient is φ = 67767840.

The previous prime is 148539821. The next prime is 148539847. The reversal of 148539825 is 528935841.

It is not a de Polignac number, because 148539825 - 22 = 148539821 is a prime.

It is a super-2 number, since 2×1485398252 = 44128159222061250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (148539821) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 297426 + ... + 297924.

Almost surely, 2148539825 is an apocalyptic number.

148539825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148539825 is an abundant number, since it is smaller than the sum of its proper divisors (173054175).

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

148539825 is an equidigital number, since it uses as much as digits as its factorization.

148539825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 514 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 148539825 is about 12187.6915369565. The cubic root of 148539825 is about 529.5995848295.

The spelling of 148539825 in words is "one hundred forty-eight million, five hundred thirty-nine thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 243 245 315 405 441 499 525 567 675 735 945 1215 1225 1323 1497 1575 1701 2025 2205 2495 2835 3493 3675 3969 4491 4725 6075 6615 7485 8505 10479 11025 11907 12475 13473 14175 17465 19845 22455 24451 31437 33075 37425 40419 42525 52395 59535 67365 73353 87325 94311 99225 112275 121257 122255 157185 202095 220059 261975 282933 297675 336825 366765 471555 606285 611275 660177 785925 848799 1010475 1100295 1414665 1833825 1980531 2357775 3031425 3300885 4243995 5501475 5941593 7073325 9902655 16504425 21219975 29707965 49513275 148539825