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2948381401 = 7277572
BaseRepresentation
bin1010111110111100…
…1011101011011001
321121110220021221011
42233233023223121
522014241201101
61204322013521
7133030554100
oct25757135331
97543807834
102948381401
111283314649
126a34a72a1
1337cab04a4
141dd80b037
15123c99751
hexafbcbad9

2948381401 has 9 divisors (see below), whose sum is σ = 3430191999. Its totient is φ = 2526858264.

The previous prime is 2948381377. The next prime is 2948381407. The reversal of 2948381401 is 1041838492.

The square root of 2948381401 is 54299.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2425070025 + 523311376 = 49245^2 + 22876^2 .

It is not a de Polignac number, because 2948381401 - 27 = 2948381273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2948381407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 376215 + ... + 383971.

Almost surely, 22948381401 is an apocalyptic number.

2948381401 is the 54299-th square number.

2948381401 is the 27150-th centered octagonal number.

It is an amenable number.

2948381401 is a deficient number, since it is larger than the sum of its proper divisors (481810598).

2948381401 is an frugal number, since it uses more digits than its factorization.

2948381401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15528 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The cubic root of 2948381401 is about 1433.9297909821.

The spelling of 2948381401 in words is "two billion, nine hundred forty-eight million, three hundred eighty-one thousand, four hundred one".

Divisors: 1 7 49 7757 54299 380093 60171049 421197343 2948381401