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148817064 = 23311619241
BaseRepresentation
bin10001101111011…
…00010010101000
3101101000200122010
420313230102220
5301044121224
622433355520
73454631664
oct1067542250
9341020563
10148817064
1177004510
1241a08ba0
1324aa6646
1415a9b8a4
15d0e8e29
hex8dec4a8

148817064 has 64 divisors (see below), whose sum is σ = 412562880. Its totient is φ = 44352000.

The previous prime is 148817059. The next prime is 148817069. The reversal of 148817064 is 460718841.

It is an interprime number because it is at equal distance from previous prime (148817059) and next prime (148817069).

It is not an unprimeable number, because it can be changed into a prime (148817069) 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 15 ways as a sum of consecutive naturals, for example, 11484 + ... + 20724.

It is an arithmetic number, because the mean of its divisors is an integer number (6446295).

Almost surely, 2148817064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148817064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206281440).

148817064 is an abundant number, since it is smaller than the sum of its proper divisors (263745816).

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

148817064 is a wasteful number, since it uses less digits than its factorization.

148817064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9322 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 148817064 is about 12199.0599637841. The cubic root of 148817064 is about 529.9288666845.

It can be divided in two parts, 14881 and 7064, that added together give a triangular number (21945 = T209).

The spelling of 148817064 in words is "one hundred forty-eight million, eight hundred seventeen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 671 732 1342 1464 2013 2684 4026 5368 8052 9241 16104 18482 27723 36964 55446 73928 101651 110892 203302 221784 304953 406604 563701 609906 813208 1127402 1219812 1691103 2254804 2439624 3382206 4509608 6200711 6764412 12401422 13528824 18602133 24802844 37204266 49605688 74408532 148817064