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1948138540 = 225724713441
BaseRepresentation
bin111010000011110…
…0011110000101100
312000202202200200021
41310013203300230
512442210413130
6521151211524
766163622125
oct16407436054
95022680607
101948138540
1190a745357
12464516ba4
132507b98ca
14146a3904c
15b606b37a
hex741e3c2c

1948138540 has 24 divisors (see below), whose sum is σ = 4091959872. Its totient is φ = 779089920.

The previous prime is 1948138483. The next prime is 1948138547. The reversal of 1948138540 is 458318491.

It is not an unprimeable number, because it can be changed into a prime (1948138547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138220 + ... + 151660.

It is an arithmetic number, because the mean of its divisors is an integer number (170498328).

Almost surely, 21948138540 is an apocalyptic number.

1948138540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1948138540 is an abundant number, since it is smaller than the sum of its proper divisors (2143821332).

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

1948138540 is a wasteful number, since it uses less digits than its factorization.

1948138540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20697 (or 20695 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 1948138540 is about 44137.7224151859. The cubic root of 1948138540 is about 1248.9353152813.

The spelling of 1948138540 in words is "one billion, nine hundred forty-eight million, one hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 7247 13441 14494 26882 28988 36235 53764 67205 72470 134410 144940 268820 97406927 194813854 389627708 487034635 974069270 1948138540