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18744948 = 223217109281
BaseRepresentation
bin100011110000…
…0011001110100
31022021100020100
41013200121310
514244314243
61505434100
7315220665
oct107403164
938240210
1018744948
11a6433a2
12633b930
133b640b1
1426bd36c
1519a40d3
hex11e0674

18744948 has 72 divisors (see below), whose sum is σ = 50810760. Its totient is φ = 5806080.

The previous prime is 18744941. The next prime is 18744983. The reversal of 18744948 is 84944781.

It can be written as a sum of positive squares in 4 ways, for example, as 8363664 + 10381284 = 2892^2 + 3222^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18744941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66568 + ... + 66848.

It is an arithmetic number, because the mean of its divisors is an integer number (705705).

Almost surely, 218744948 is an apocalyptic number.

18744948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18744948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25405380).

18744948 is an abundant number, since it is smaller than the sum of its proper divisors (32065812).

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

18744948 is a wasteful number, since it uses less digits than its factorization.

18744948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 412 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 18744948 is about 4329.5436249101. The cubic root of 18744948 is about 265.6407799253.

The spelling of 18744948 in words is "eighteen million, seven hundred forty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 109 153 204 218 281 306 327 436 562 612 654 843 981 1124 1308 1686 1853 1962 2529 3372 3706 3924 4777 5058 5559 7412 9554 10116 11118 14331 16677 19108 22236 28662 30629 33354 42993 57324 61258 66708 85986 91887 122516 171972 183774 275661 367548 520693 551322 1041386 1102644 1562079 2082772 3124158 4686237 6248316 9372474 18744948