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2474963001 = 32722321032
BaseRepresentation
bin1001001110000100…
…1111000000111001
320101111002010222100
42103201033000321
520032042304001
61045331014013
7115221560400
oct22341170071
96344063870
102474963001
111060063375
12590a3a309
133059a4464
141969b4637
15e7432586
hex9384f039

2474963001 has 81 divisors (see below), whose sum is σ = 4389898149. Its totient is φ = 1339641072.

The previous prime is 2474962999. The next prime is 2474963017. The reversal of 2474963001 is 1003694742.

The square root of 2474963001 is 49749.

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

It is not a de Polignac number, because 2474963001 - 21 = 2474962999 is a prime.

It is a super-2 number, since 2×24749630012 = 12250883712637852002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2474963081) 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, 24028716 + ... + 24028818.

Almost surely, 22474963001 is an apocalyptic number.

2474963001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2474963001 is the 49749-th square number.

2474963001 is the 24875-th centered octagonal number.

It is an amenable number.

2474963001 is a deficient number, since it is larger than the sum of its proper divisors (1914935148).

2474963001 is a wasteful number, since it uses less digits than its factorization.

2474963001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The cubic root of 2474963001 is about 1352.6628740704.

Multiplying 2474963001 by its sum of digits (36), we get a square (89098668036 = 2984942).

The spelling of 2474963001 in words is "two billion, four hundred seventy-four million, nine hundred sixty-three thousand, one".

Divisors: 1 3 7 9 21 23 49 63 69 103 147 161 207 309 441 483 529 721 927 1127 1449 1587 2163 2369 3381 3703 4761 5047 6489 7107 10143 10609 11109 15141 16583 21321 25921 31827 33327 45423 49749 54487 74263 77763 95481 116081 149247 163461 222789 233289 244007 348243 381409 490383 519841 668367 732021 1044729 1144227 1559523 1708049 2196063 2669863 3432681 4678569 5124147 5612161 8009589 11956343 15372441 16836483 24028767 35869029 39285127 50509449 107607087 117855381 274995889 353566143 824987667 2474963001