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4410420921 = 344721572
BaseRepresentation
bin1000001101110000…
…11010111010111001
3102101100222121010000
410012320122322321
533013031432141
62005350343213
7214202650014
oct40670327271
912340877100
104410420921
111963627575
12a3105ab09
1355397132a
142dba6c37b
151ac2e65b6
hex106e1aeb9

4410420921 has 45 divisors (see below), whose sum is σ = 6774717279. Its totient is φ = 2859392016.

The previous prime is 4410420907. The next prime is 4410420941. The reversal of 4410420921 is 1290240144.

It is a happy number.

The square root of 4410420921 is 66411.

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., 1292762025 + 3117658896 = 35955^2 + 55836^2 .

It is not a de Polignac number, because 4410420921 - 29 = 4410420409 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (4410420901) 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, 28091775 + ... + 28091931.

Almost surely, 24410420921 is an apocalyptic number.

4410420921 is the 66411-st square number.

4410420921 is the 33206-th centered octagonal number.

It is an amenable number.

4410420921 is a deficient number, since it is larger than the sum of its proper divisors (2364296358).

4410420921 is an frugal number, since it uses more digits than its factorization.

4410420921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 4410420921 is about 1639.9351700776.

Multiplying 4410420921 by its product of nonzero digits (2304), we get a square (10161609801984 = 31877282).

It can be divided in two parts, 44104 and 20921, that added together give a square (65025 = 2552).

The spelling of 4410420921 in words is "four billion, four hundred ten million, four hundred twenty thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 47 81 141 157 423 471 1269 1413 2209 3807 4239 6627 7379 12717 19881 22137 24649 59643 66411 73947 178929 199233 221841 346813 597699 665523 1040439 1158503 1996569 3121317 3475509 9363951 10426527 28091853 31279581 54449641 93838743 163348923 490046769 1470140307 4410420921