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621056241 = 36132712
BaseRepresentation
bin100101000001001…
…001000011110001
31121021121221000000
4211001021003301
52232442244431
6141343220213
721250614411
oct4501110361
91537557000
10621056241
1129962a823
12153ba7669
139b88ba00
145c6a8641
15397cb9e6
hex250490f1

621056241 has 63 divisors (see below), whose sum is σ = 1022697147. Its totient is φ = 376805520.

The previous prime is 621056239. The next prime is 621056251. The reversal of 621056241 is 142650126.

The square root of 621056241 is 24921.

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

621056241 is a `hidden beast` number, since 62 + 1 + 0 + 562 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91872225 + 529184016 = 9585^2 + 23004^2 .

It is not a de Polignac number, because 621056241 - 21 = 621056239 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 (621056221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8747236 + ... + 8747306.

Almost surely, 2621056241 is an apocalyptic number.

621056241 is the 24921-st square number.

621056241 is the 12461-st centered octagonal number.

It is an amenable number.

621056241 is a deficient number, since it is larger than the sum of its proper divisors (401640906).

621056241 is an frugal number, since it uses more digits than its factorization.

621056241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 621056241 is about 853.1858487211.

The spelling of 621056241 in words is "six hundred twenty-one million, fifty-six thousand, two hundred forty-one".

Divisors: 1 3 9 13 27 39 71 81 117 169 213 243 351 507 639 729 923 1053 1521 1917 2769 3159 4563 5041 5751 8307 9477 11999 13689 15123 17253 24921 35997 41067 45369 51759 65533 74763 107991 123201 136107 196599 224289 323973 408321 589797 672867 851929 971919 1224963 1769391 2555787 2915757 3674889 5308173 7667361 8747271 15924519 23002083 47773557 69006249 207018747 621056241