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1949745420 = 22325719233541
BaseRepresentation
bin111010000110110…
…1100000100001100
312000212210022220100
41310031230010030
512443113323140
6521245451100
766213363660
oct16415540414
95025708810
101949745420
11910642657
12464b70a90
13250c3011c
14146d368a0
15b6287530
hex7436c10c

1949745420 has 288 divisors, whose sum is σ = 7426298880. Its totient is φ = 403729920.

The previous prime is 1949745407. The next prime is 1949745437. The reversal of 1949745420 is 245479491.

1949745420 is a `hidden beast` number, since 1 + 94 + 97 + 454 + 20 = 666.

It is a super-3 number, since 3×19497454203 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548850 + ... + 552390.

It is an arithmetic number, because the mean of its divisors is an integer number (25785760).

Almost surely, 21949745420 is an apocalyptic number.

1949745420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1949745420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713149440).

1949745420 is an abundant number, since it is smaller than the sum of its proper divisors (5476553460).

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

1949745420 is a wasteful number, since it uses less digits than its factorization.

1949745420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1949745420 is about 44155.9216866775. The cubic root of 1949745420 is about 1249.2786066868.

The spelling of 1949745420 in words is "one billion, nine hundred forty-nine million, seven hundred forty-five thousand, four hundred twenty".