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148112964 = 22324114249
BaseRepresentation
bin10001101010000…
…00011001000100
3101022200220210100
420311000121010
5300404103324
622410324100
73445640136
oct1065003104
9338626710
10148112964
117667350a
1241729630
13248bb00c
1415957056
15d00a4c9
hex8d40644

148112964 has 18 divisors (see below), whose sum is σ = 374396750. Its totient is φ = 49370976.

The previous prime is 148112963. The next prime is 148112969. The reversal of 148112964 is 469211841.

It can be written as a sum of positive squares in only one way, i.e., 87272964 + 60840000 = 9342^2 + 7800^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4114249 = 148112964 / (1 + 4 + 8 + 1 + 1 + 2 + 9 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (148112963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2057089 + ... + 2057160.

Almost surely, 2148112964 is an apocalyptic number.

It is an amenable number.

148112964 is an abundant number, since it is smaller than the sum of its proper divisors (226283786).

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

148112964 is a wasteful number, since it uses less digits than its factorization.

148112964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114259 (or 4114254 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 148112964 is about 12170.1669668086. The cubic root of 148112964 is about 529.0917921575.

The spelling of 148112964 in words is "one hundred forty-eight million, one hundred twelve thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4114249 8228498 12342747 16456996 24685494 37028241 49370988 74056482 148112964