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3052673001 = 34728772
BaseRepresentation
bin1011010111110100…
…0001011111101001
321212202010212010000
42311331001133221
522222441014001
61222525213213
7135435202200
oct26575013751
97782125100
103052673001
111327177454
12712401209
133985974b1
1420d5d8237
1512ceeaa86
hexb5f417e9

3052673001 has 45 divisors (see below), whose sum is σ = 5310738279. Its totient is φ = 1742395536.

The previous prime is 3052672979. The next prime is 3052673003. The reversal of 3052673001 is 1003762503.

It is a happy number.

The square root of 3052673001 is 55251.

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., 2572011225 + 480661776 = 50715^2 + 21924^2 .

It is not a de Polignac number, because 3052673001 - 25 = 3052672969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3052673003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3480375 + ... + 3481251.

Almost surely, 23052673001 is an apocalyptic number.

3052673001 is the 55251-st square number.

3052673001 is the 27626-th centered octagonal number.

It is an amenable number.

3052673001 is a deficient number, since it is larger than the sum of its proper divisors (2258065278).

3052673001 is an frugal number, since it uses more digits than its factorization.

3052673001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The cubic root of 3052673001 is about 1450.6414919792.

The spelling of 3052673001 in words is "three billion, fifty-two million, six hundred seventy-three thousand, one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 877 1323 2631 3969 6139 7893 18417 23679 42973 55251 71037 128919 165753 386757 497259 769129 1160271 2307387 3480813 5383903 6922161 16151709 20766483 37687321 48455127 62299449 113061963 145365381 339185889 436096143 1017557667 3052673001