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1924980408 = 2332132056603
BaseRepresentation
bin111001010111100…
…1101111010111000
311222011012010200200
41302233031322320
512420243333113
6515003002200
765463030531
oct16257157270
94864163620
101924980408
118a86682aa
12458809360
13248a6bb80
1414392b688
15b3ee4873
hex72bcdeb8

1924980408 has 48 divisors (see below), whose sum is σ = 5614528920. Its totient is φ = 592301376.

The previous prime is 1924980403. The next prime is 1924980419. The reversal of 1924980408 is 8040894291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1924980403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1027366 + ... + 1029237.

Almost surely, 21924980408 is an apocalyptic number.

1924980408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1924980408 is an abundant number, since it is smaller than the sum of its proper divisors (3689548512).

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

1924980408 is a wasteful number, since it uses less digits than its factorization.

1924980408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056628 (or 2056621 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1924980408 is about 43874.5986648311. The cubic root of 1924980408 is about 1243.9667471114.

The spelling of 1924980408 in words is "one billion, nine hundred twenty-four million, nine hundred eighty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2056603 4113206 6169809 8226412 12339618 16452824 18509427 24679236 26735839 37018854 49358472 53471678 74037708 80207517 106943356 148075416 160415034 213886712 240622551 320830068 481245102 641660136 962490204 1924980408