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2108477952 = 29377269
BaseRepresentation
bin111110110101100…
…1101001000000000
312102221110210000000
41331223031020000
513304232243302
6545120000000
7103151524020
oct17553151000
95387423000
102108477952
119921a9769
124aa160000
13277a989b9
14160055a80
15c518e31c
hex7dacd200

2108477952 has 320 divisors, whose sum is σ = 7247750400. Its totient is φ = 600182784.

The previous prime is 2108477947. The next prime is 2108477963. The reversal of 2108477952 is 2597748012.

It is a happy number.

It is a super-2 number, since 2×21084779522 = 8891358548140228608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2108477898 and 2108477907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7838074 + ... + 7838342.

It is an arithmetic number, because the mean of its divisors is an integer number (22649220).

Almost surely, 22108477952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2108477952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623875200).

2108477952 is an abundant number, since it is smaller than the sum of its proper divisors (5139272448).

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

2108477952 is an frugal number, since it uses more digits than its factorization.

2108477952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2108477952 is about 45918.1658170271. The cubic root of 2108477952 is about 1282.3001350596.

The spelling of 2108477952 in words is "two billion, one hundred eight million, four hundred seventy-seven thousand, nine hundred fifty-two".