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18873972 = 2234134481
BaseRepresentation
bin100011111111…
…1111001110100
31022111220020000
41013333321310
514312431342
61512311300
7316266105
oct107777164
938456200
1018873972
11a721327
1263a2530
133baaa40
1427143ac
1519cc44c
hex11ffe74

18873972 has 60 divisors (see below), whose sum is σ = 53147556. Its totient is φ = 5806080.

The previous prime is 18873919. The next prime is 18873977. The reversal of 18873972 is 27937881.

It can be written as a sum of positive squares in 2 ways, for example, as 8608356 + 10265616 = 2934^2 + 3204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18873977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1972 + ... + 6452.

Almost surely, 218873972 is an apocalyptic number.

18873972 is a gapful number since it is divisible by the number (12) 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 18873972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26573778).

18873972 is an abundant number, since it is smaller than the sum of its proper divisors (34273584).

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

18873972 is a wasteful number, since it uses less digits than its factorization.

18873972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510 (or 4499 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 18873972 is about 4344.4184881293. The cubic root of 18873972 is about 266.2488672834.

The spelling of 18873972 in words is "eighteen million, eight hundred seventy-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 4481 8962 13443 17924 26886 40329 53772 58253 80658 116506 120987 161316 174759 233012 241974 349518 362961 483948 524277 699036 725922 1048554 1451844 1572831 2097108 3145662 4718493 6291324 9436986 18873972