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4378601241 = 32722321372
BaseRepresentation
bin1000001001111110…
…00010011100011001
3102022011002222201100
410010333002130121
532431410214431
62002252342013
7213335332200
oct40477023431
912264088640
104378601241
111947673a13
12a22474909
1354a1b0011
142d7748237
151a960d4e6
hex104fc2719

4378601241 has 81 divisors (see below), whose sum is σ = 7747578111. Its totient is φ = 2375803584.

The previous prime is 4378601239. The next prime is 4378601261. The reversal of 4378601241 is 1421068734.

The square root of 4378601241 is 66171.

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

4378601241 is a `hidden beast` number, since 4 + 3 + 7 + 8 + 601 + 2 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2572011225 + 1806590016 = 50715^2 + 42504^2 .

It is not a de Polignac number, because 4378601241 - 21 = 4378601239 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4378601196 and 4378601205.

It is not an unprimeable number, because it can be changed into a prime (4378601261) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31960525 + ... + 31960661.

Almost surely, 24378601241 is an apocalyptic number.

4378601241 is the 66171-st square number.

4378601241 is the 33086-th centered octagonal number.

It is an amenable number.

4378601241 is a deficient number, since it is larger than the sum of its proper divisors (3368976870).

4378601241 is a wasteful number, since it uses less digits than its factorization.

4378601241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 4378601241 is about 1635.9817900435.

Multiplying 4378601241 by its sum of digits (36), we get a square (157629644676 = 3970262).

Adding to 4378601241 its reverse (1421068734), we get a palindrome (5799669975).

The spelling of 4378601241 in words is "four billion, three hundred seventy-eight million, six hundred one thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 23 49 63 69 137 147 161 207 411 441 483 529 959 1127 1233 1449 1587 2877 3151 3381 3703 4761 6713 8631 9453 10143 11109 18769 20139 22057 25921 28359 33327 56307 60417 66171 72473 77763 131383 154399 168921 198513 217419 233289 394149 431687 463197 507311 652257 919681 1182447 1295061 1389591 1521933 2759043 3021809 3551177 3885183 4565799 8277129 9065427 9928801 10653531 21152663 27196281 29786403 31960593 63457989 69501607 89359209 190373967 208504821 486511249 625514463 1459533747 4378601241