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148883364 = 22327284401
BaseRepresentation
bin10001101111111…
…00011110100100
3101101011001120200
420313330132210
5301103231424
622435030500
73455326200
oct1067743644
9341131520
10148883364
117704a303
1241a3b430
1324aca886
1415ab7b00
15d10d8c9
hex8dfc7a4

148883364 has 54 divisors (see below), whose sum is σ = 437793174. Its totient is φ = 42537600.

The previous prime is 148883353. The next prime is 148883369. The reversal of 148883364 is 463388841.

It can be written as a sum of positive squares in only one way, i.e., 88510464 + 60372900 = 9408^2 + 7770^2 .

It is not an unprimeable number, because it can be changed into a prime (148883369) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40437 + ... + 43964.

It is an arithmetic number, because the mean of its divisors is an integer number (8107281).

Almost surely, 2148883364 is an apocalyptic number.

148883364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

148883364 is an abundant number, since it is smaller than the sum of its proper divisors (288909810).

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

148883364 is a wasteful number, since it uses less digits than its factorization.

148883364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84425 (or 84413 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 148883364 is about 12201.7770836874. Note that the first 3 decimals coincide. The cubic root of 148883364 is about 530.0075518089.

The spelling of 148883364 in words is "one hundred forty-eight million, eight hundred eighty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 84401 168802 253203 337604 506406 590807 759609 1012812 1181614 1519218 1772421 2363228 3038436 3544842 4135649 5317263 7089684 8271298 10634526 12406947 16542596 21269052 24813894 37220841 49627788 74441682 148883364