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18909972 = 22322959307
BaseRepresentation
bin100100000100…
…0101100010100
31022120201121100
41020020230110
514320104342
61513150100
7316506054
oct110105424
938521540
1018909972
11a746384
1263bb330
133bc1243
142723564
1519d7e4c
hex1208b14

18909972 has 72 divisors (see below), whose sum is σ = 50450400. Its totient is φ = 5963328.

The previous prime is 18909949. The next prime is 18909983. The reversal of 18909972 is 27990981.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61443 + ... + 61749.

It is an arithmetic number, because the mean of its divisors is an integer number (700700).

Almost surely, 218909972 is an apocalyptic number.

18909972 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 18909972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25225200).

18909972 is an abundant number, since it is smaller than the sum of its proper divisors (31540428).

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

18909972 is a wasteful number, since it uses less digits than its factorization.

18909972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 18909972 is about 4348.5597615762. The cubic root of 18909972 is about 266.4180397924.

It can be divided in two parts, 18909 and 972, that added together give a square (19881 = 1412).

The spelling of 18909972 in words is "eighteen million, nine hundred nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 59 87 116 118 174 177 236 261 307 348 354 522 531 614 708 921 1044 1062 1228 1711 1842 2124 2763 3422 3684 5133 5526 6844 8903 10266 11052 15399 17806 18113 20532 26709 30798 35612 36226 53418 54339 61596 72452 80127 106836 108678 160254 163017 217356 320508 326034 525277 652068 1050554 1575831 2101108 3151662 4727493 6303324 9454986 18909972