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1948290640 = 24524353633
BaseRepresentation
bin111010000100000…
…1000111001010000
312000210001102022121
41310020020321100
512442230300030
6521154344024
766165124432
oct16410107120
95023042277
101948290640
1190a83965a
1246458b014
13250840bca
14146a78652
15b609b47a
hex74208e50

1948290640 has 20 divisors (see below), whose sum is σ = 4529775924. Its totient is φ = 779316224.

The previous prime is 1948290613. The next prime is 1948290667. The reversal of 1948290640 is 460928491.

It is an interprime number because it is at equal distance from previous prime (1948290613) and next prime (1948290667).

It can be written as a sum of positive squares in 2 ways, for example, as 302203456 + 1646087184 = 17384^2 + 40572^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12176737 + ... + 12176896.

Almost surely, 21948290640 is an apocalyptic number.

1948290640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1948290640 is an abundant number, since it is smaller than the sum of its proper divisors (2581485284).

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

1948290640 is a wasteful number, since it uses less digits than its factorization.

1948290640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24353646 (or 24353640 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 1948290640 is about 44139.4453975126. The cubic root of 1948290640 is about 1248.9678177812.

The spelling of 1948290640 in words is "one billion, nine hundred forty-eight million, two hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 24353633 48707266 97414532 121768165 194829064 243536330 389658128 487072660 974145320 1948290640