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148513901 = 29312732
BaseRepresentation
bin10001101101000…
…10010001101101
3101100110021202212
420312202101231
5301004421101
622423100205
73452230064
oct1066422155
9340407685
10148513901
1176917768
12418a1665
13249cb663
1415a1d1db
15d0891bb
hex8da246d

148513901 has 18 divisors (see below), whose sum is σ = 160955370. Its totient is φ = 136866240.

The previous prime is 148513889. The next prime is 148513903. The reversal of 148513901 is 109315841.

It can be written as a sum of positive squares in 3 ways, for example, as 30791401 + 117722500 = 5549^2 + 10850^2 .

It is not a de Polignac number, because 148513901 - 26 = 148513837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148513903) 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 17 ways as a sum of consecutive naturals, for example, 2034401 + ... + 2034473.

It is an arithmetic number, because the mean of its divisors is an integer number (8941965).

Almost surely, 2148513901 is an apocalyptic number.

It is an amenable number.

148513901 is a deficient number, since it is larger than the sum of its proper divisors (12441469).

148513901 is an frugal number, since it uses more digits than its factorization.

148513901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 148513901 is about 12186.6279585454. The cubic root of 148513901 is about 529.5687734777.

The spelling of 148513901 in words is "one hundred forty-eight million, five hundred thirteen thousand, nine hundred one".

Divisors: 1 29 31 73 899 961 2117 2263 5329 27869 65627 70153 154541 165199 2034437 4790771 5121169 148513901