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9145479424 = 284321392
BaseRepresentation
bin10001000010001110…
…01111000100000000
3212121100211111021011
420201013033010000
5122212220320144
64111255210304
7442430202214
oct104107170400
925540744234
109145479424
113973426064
121932976994
13b299586b3
1462a884944
15387d66a34
hex2211cf100

9145479424 has 81 divisors (see below), whose sum is σ = 18825072903. Its totient is φ = 4434264576.

The previous prime is 9145479391. The next prime is 9145479451. The reversal of 9145479424 is 4249745419.

The square root of 9145479424 is 95632.

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

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 65794747 + ... + 65794885.

Almost surely, 29145479424 is an apocalyptic number.

9145479424 is the 95632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9145479424

9145479424 is an abundant number, since it is smaller than the sum of its proper divisors (9679593479).

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

9145479424 is an frugal number, since it uses more digits than its factorization.

9145479424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 184 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The cubic root of 9145479424 is about 2091.2317261971.

Multiplying 9145479424 by its sum of digits (49), we get a square (448128491776 = 6694242).

The spelling of 9145479424 in words is "nine billion, one hundred forty-five million, four hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 139 172 256 278 344 556 688 1112 1376 1849 2224 2752 3698 4448 5504 5977 7396 8896 11008 11954 14792 17792 19321 23908 29584 35584 38642 47816 59168 77284 95632 118336 154568 191264 236672 257011 309136 382528 473344 514022 618272 765056 830803 1028044 1236544 1530112 1661606 2056088 2473088 3323212 4112176 4946176 6646424 8224352 13292848 16448704 26585696 32897408 35724529 53171392 65794816 71449058 106342784 142898116 212685568 285796232 571592464 1143184928 2286369856 4572739712 9145479424