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1948849441 = 71131816443
BaseRepresentation
bin111010000101001…
…0001010100100001
312000211002210211221
41310022101110201
512442401140231
6521214335041
766202642540
oct16412212441
95024083757
101948849441
11910090480
124647ba481
132509a8366
14146b82157
15b615bd11
hex74291521

1948849441 has 16 divisors (see below), whose sum is σ = 2508115968. Its totient is φ = 1469595600.

The previous prime is 1948849429. The next prime is 1948849447. The reversal of 1948849441 is 1449488491.

It is a happy number.

It is not a de Polignac number, because 1948849441 - 211 = 1948847393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1948849447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405835 + ... + 410608.

It is an arithmetic number, because the mean of its divisors is an integer number (156757248).

Almost surely, 21948849441 is an apocalyptic number.

1948849441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1948849441 is a deficient number, since it is larger than the sum of its proper divisors (559266527).

1948849441 is a wasteful number, since it uses less digits than its factorization.

1948849441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816492.

The product of its digits is 1327104, while the sum is 52.

The square root of 1948849441 is about 44145.7748940938. The cubic root of 1948849441 is about 1249.0872143668.

The spelling of 1948849441 in words is "one billion, nine hundred forty-eight million, eight hundred forty-nine thousand, four hundred forty-one".

Divisors: 1 7 11 31 77 217 341 2387 816443 5715101 8980873 25309733 62866111 177168131 278407063 1948849441