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2938061952 = 273272233173
BaseRepresentation
bin1010111100011111…
…0100010010000000
321120202111000022100
42233013310102000
522004120440302
61203312510400
7132544054200
oct25707642200
97522430270
102938061952
111278506481
1269bb4b400
1337a9093c7
141dc2c2400
15122e0bd1c
hexaf1f4480

2938061952 has 576 divisors, whose sum is σ = 10738690560. Its totient is φ = 766402560.

The previous prime is 2938061933. The next prime is 2938061953. The reversal of 2938061952 is 2591608392.

2938061952 is a `hidden beast` number, since 29 + 3 + 8 + 0 + 619 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 2938061898 and 2938061907.

It is not an unprimeable number, because it can be changed into a prime (2938061953) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40247388 + ... + 40247460.

It is an arithmetic number, because the mean of its divisors is an integer number (18643560).

Almost surely, 22938061952 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 2938061952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369345280).

2938061952 is an abundant number, since it is smaller than the sum of its proper divisors (7800628608).

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

2938061952 is a wasteful number, since it uses less digits than its factorization.

2938061952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2938061952 is about 54203.8924063577. The cubic root of 2938061952 is about 1432.2548988109.

The spelling of 2938061952 in words is "two billion, nine hundred thirty-eight million, sixty-one thousand, nine hundred fifty-two".