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5478664324 = 22721723112
BaseRepresentation
bin1010001101000110…
…11100100010000100
3112010211001222120111
411012203130202010
542210014224244
62303350442404
7252523610200
oct50643344204
915124058514
105478664324
112361621661
12108a963404
13694083613
1439d8a1b00
15220ea7e34
hex1468dc884

5478664324 has 81 divisors (see below), whose sum is σ = 11885863269. Its totient is φ = 2202775680.

The previous prime is 5478664297. The next prime is 5478664351. The reversal of 5478664324 is 4234668745.

The square root of 5478664324 is 74018.

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 (5478664297) and next prime (5478664351).

It can be written as a sum of positive squares in only one way, i.e., 4265396100 + 1213268224 = 65310^2 + 34832^2 .

It is a super-3 number, since 3×54786643243 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17616129 + ... + 17616439.

Almost surely, 25478664324 is an apocalyptic number.

5478664324 is the 74018-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5478664324

5478664324 is an abundant number, since it is smaller than the sum of its proper divisors (6407198945).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5478664324 is a wasteful number, since it uses less digits than its factorization.

5478664324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 337 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 49.

The cubic root of 5478664324 is about 1762.8887138483. Note that the first 3 decimals are identical.

Multiplying 5478664324 by its sum of digits (49), we get a square (268454551876 = 5181262).

5478664324 divided by its sum of digits (49) gives a square (111809476 = 105742).

The spelling of 5478664324 in words is "five billion, four hundred seventy-eight million, six hundred sixty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 311 476 578 622 833 1156 1244 1666 2023 2177 3332 4046 4354 5287 8092 8708 10574 14161 15239 21148 28322 30478 37009 56644 60956 74018 89879 96721 148036 179758 193442 259063 359516 386884 518126 629153 677047 1036252 1258306 1354094 1644257 2516612 2708188 3288514 4404071 4739329 6577028 8808142 9478658 11509799 17616284 18957316 23019598 27952369 46039196 55904738 80568593 111809476 161137186 195666583 322274372 391333166 782666332 1369666081 2739332162 5478664324