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7490729401 = 232532712
BaseRepresentation
bin1101111100111101…
…10111010110111001
3201100001010110222021
412332132313112321
5110320111320101
63235144154441
7353425102141
oct67636672671
921301113867
107490729401
1131a4359961
121550768a21
13924b9347c
14510bbb921
152dc9505a1
hex1be7b75b9

7490729401 has 27 divisors (see below), whose sum is σ = 8095101007. Its totient is φ = 6930843920.

The previous prime is 7490729371. The next prime is 7490729413. The reversal of 7490729401 is 1049270947.

The square root of 7490729401 is 86549.

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., 5400045225 + 2090684176 = 73485^2 + 45724^2 .

It is not a de Polignac number, because 7490729401 - 25 = 7490729369 is a prime.

It is a super-2 number, since 2×74907294012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7490729201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105503196 + ... + 105503266.

Almost surely, 27490729401 is an apocalyptic number.

7490729401 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

7490729401 is the 86549-th square number.

7490729401 is the 43275-th centered octagonal number.

It is an amenable number.

7490729401 is a deficient number, since it is larger than the sum of its proper divisors (604371606).

7490729401 is an frugal number, since it uses more digits than its factorization.

7490729401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The cubic root of 7490729401 is about 1956.6269732051.

The spelling of 7490729401 in words is "seven billion, four hundred ninety million, seven hundred twenty-nine thousand, four hundred one".

Divisors: 1 23 53 71 529 1219 1633 2809 3763 5041 28037 37559 64607 86549 115943 199439 267173 1485961 1990627 2666689 4587097 6144979 14160169 105503231 141334517 325683887 7490729401