Search a number
-
+
5409455401 = 74192792
BaseRepresentation
bin1010000100110110…
…11011110100101001
3111221222211210210001
411002123123310221
542034310033101
62252435223001
7251023420000
oct50233336451
914858753701
105409455401
1123265509a9
12106b747a61
13682930bac
14394607c37
15219d86901
hex1426dbd29

5409455401 has 45 divisors (see below), whose sum is σ = 6745651101. Its totient is φ = 4337037432.

The previous prime is 5409455383. The next prime is 5409455419. The reversal of 5409455401 is 1045549045.

The square root of 5409455401 is 73549.

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

It is an interprime number because it is at equal distance from previous prime (5409455383) and next prime (5409455419).

It is not a de Polignac number, because 5409455401 - 29 = 5409454889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5409455461) 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, 68474080 + ... + 68474158.

Almost surely, 25409455401 is an apocalyptic number.

5409455401 is the 73549-th square number.

5409455401 is the 36775-th centered octagonal number.

It is an amenable number.

5409455401 is a deficient number, since it is larger than the sum of its proper divisors (1336195700).

5409455401 is an frugal number, since it uses more digits than its factorization.

5409455401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The cubic root of 5409455401 is about 1755.4340369591.

The spelling of 5409455401 in words is "five billion, four hundred nine million, four hundred fifty-five thousand, four hundred one".

Divisors: 1 7 19 49 79 133 343 361 553 931 1501 2401 2527 3871 6241 6517 10507 17689 27097 28519 43687 45619 73549 118579 123823 189679 199633 305809 514843 830053 866761 1397431 2140663 2253001 3603901 5810371 9782017 14984641 15771007 40672597 68474119 110397049 284708179 772779343 5409455401