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18933948 = 223211137349
BaseRepresentation
bin100100000111…
…0100010111100
31022121221111100
41020032202330
514321341243
61513453100
7316636005
oct110164274
938557440
1018933948
11a7623a0
126411190
133bcc127
14272c1ac
1519e00d3
hex120e8bc

18933948 has 72 divisors (see below), whose sum is σ = 52743600. Its totient is φ = 5679360.

The previous prime is 18933947. The next prime is 18933977. The reversal of 18933948 is 84933981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18933947) 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, 54078 + ... + 54426.

It is an arithmetic number, because the mean of its divisors is an integer number (732550).

Almost surely, 218933948 is an apocalyptic number.

18933948 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 18933948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26371800).

18933948 is an abundant number, since it is smaller than the sum of its proper divisors (33809652).

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

18933948 is a wasteful number, since it uses less digits than its factorization.

18933948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 502 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 18933948 is about 4351.3156631070. The cubic root of 18933948 is about 266.5305896010.

It can be divided in two parts, 18933 and 948, that added together give a square (19881 = 1412).

The spelling of 18933948 in words is "eighteen million, nine hundred thirty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 198 274 349 396 411 548 698 822 1047 1233 1396 1507 1644 2094 2466 3014 3141 3839 4188 4521 4932 6028 6282 7678 9042 11517 12564 13563 15356 18084 23034 27126 34551 46068 47813 54252 69102 95626 138204 143439 191252 286878 430317 525943 573756 860634 1051886 1577829 1721268 2103772 3155658 4733487 6311316 9466974 18933948