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39908452441 = 1141321272
BaseRepresentation
bin100101001010101110…
…101010100001011001
310211000021210102212011
4211022232222201121
51123213030434231
630200024345521
72611653151204
oct451256524131
9124007712764
1039908452441
1115a1a310000
1278993152a1
1339c010b100
141d0837a93b
1510889519b1
hex94abaa859

39908452441 has 45 divisors (see below), whose sum is σ = 47912874255. Its totient is φ = 33225912720.

The previous prime is 39908452433. The next prime is 39908452447. The reversal of 39908452441 is 14425480993.

It is a happy number.

The square root of 39908452441 is 199771.

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., 5903617225 + 34004835216 = 76835^2 + 184404^2 .

It is not a de Polignac number, because 39908452441 - 23 = 39908452433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39908452447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 314239720 + ... + 314239846.

It is an arithmetic number, because the mean of its divisors is an integer number (1064730539).

Almost surely, 239908452441 is an apocalyptic number.

39908452441 is the 199771-st square number.

39908452441 is the 99886-th centered octagonal number.

It is an amenable number.

39908452441 is a deficient number, since it is larger than the sum of its proper divisors (8004421814).

39908452441 is an frugal number, since it uses more digits than its factorization.

39908452441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 39908452441 by its sum of digits (49), we get a square (1955514169609 = 13983972).

The spelling of 39908452441 in words is "thirty-nine billion, nine hundred eight million, four hundred fifty-two thousand, four hundred forty-one".

Divisors: 1 11 13 121 127 143 169 1331 1397 1573 1651 1859 14641 15367 16129 17303 18161 20449 21463 169037 177419 190333 199771 209677 224939 236093 1859407 1951609 2197481 2306447 2474329 2597023 2725801 21467699 24172291 25370917 28567253 29983811 236144689 279080087 314239783 329821921 3069880957 3628041131 39908452441