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18772050 = 23521131367
BaseRepresentation
bin100011110011…
…1000001010010
31022022201102010
41013213001102
514301201200
61510203350
7315363003
oct107470122
938281363
1018772050
11a6617a0
126353556
133b7352b
1426c91aa
1519ac150
hex11e7052

18772050 has 96 divisors (see below), whose sum is σ = 52568064. Its totient is φ = 4392000.

The previous prime is 18772049. The next prime is 18772069. The reversal of 18772050 is 5027781.

It is a happy number.

It is a super-2 number, since 2×187720502 = 704779722405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18771999 and 18772017.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 50967 + ... + 51333.

It is an arithmetic number, because the mean of its divisors is an integer number (547584).

Almost surely, 218772050 is an apocalyptic number.

18772050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18772050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26284032).

18772050 is an abundant number, since it is smaller than the sum of its proper divisors (33796014).

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

18772050 is a wasteful number, since it uses less digits than its factorization.

18772050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 18772050 is about 4332.6723854914. The cubic root of 18772050 is about 265.7687420390.

The spelling of 18772050 in words is "eighteen million, seven hundred seventy-two thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 31 33 50 55 62 66 75 93 110 150 155 165 186 275 310 330 341 367 465 550 682 734 775 825 930 1023 1101 1550 1650 1705 1835 2046 2202 2325 3410 3670 4037 4650 5115 5505 8074 8525 9175 10230 11010 11377 12111 17050 18350 20185 22754 24222 25575 27525 34131 40370 51150 55050 56885 60555 68262 100925 113770 121110 125147 170655 201850 250294 284425 302775 341310 375441 568850 605550 625735 750882 853275 1251470 1706550 1877205 3128675 3754410 6257350 9386025 18772050