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211980048 = 2437630893
BaseRepresentation
bin11001010001010…
…00111100010000
3112202212200221220
430220220330100
5413231330143
633011245040
75152541430
oct1450507420
9482780856
10211980048
11a9725825
125aba9780
1334bc01a7
14202202c0
1513923d83
hexca28f10

211980048 has 40 divisors (see below), whose sum is σ = 625846848. Its totient is φ = 60565632.

The previous prime is 211980047. The next prime is 211980049. The reversal of 211980048 is 840089112.

It is an interprime number because it is at equal distance from previous prime (211980047) and next prime (211980049).

It is not an unprimeable number, because it can be changed into a prime (211980047) 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 7 ways as a sum of consecutive naturals, for example, 315111 + ... + 315782.

Almost surely, 2211980048 is an apocalyptic number.

211980048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

211980048 is an abundant number, since it is smaller than the sum of its proper divisors (413866800).

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

211980048 is a wasteful number, since it uses less digits than its factorization.

211980048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630911 (or 630905 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 211980048 is about 14559.5346079468. The cubic root of 211980048 is about 596.2544894598.

The spelling of 211980048 in words is "two hundred eleven million, nine hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 630893 1261786 1892679 2523572 3785358 4416251 5047144 7570716 8832502 10094288 13248753 15141432 17665004 26497506 30282864 35330008 52995012 70660016 105990024 211980048