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1604416896 = 2734154747
BaseRepresentation
bin101111110100001…
…0111010110000000
311010210222211020000
41133220113112000
511241212320041
6423112120000
754521214165
oct13750272600
94123884200
101604416896
11753719185
12389396000
131c7521314
1411312406c
1595cc2bb6
hex5fa17580

1604416896 has 80 divisors (see below), whose sum is σ = 4774749540. Its totient is φ = 534802176.

The previous prime is 1604416843. The next prime is 1604416921. The reversal of 1604416896 is 6986144061.

1604416896 is a `hidden beast` number, since 1 + 60 + 441 + 68 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 67006 + ... + 87741.

Almost surely, 21604416896 is an apocalyptic number.

1604416896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1604416896 is an abundant number, since it is smaller than the sum of its proper divisors (3170332644).

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

1604416896 is an equidigital number, since it uses as much as digits as its factorization.

1604416896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154773 (or 154752 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1604416896 is about 40055.1731490453. The cubic root of 1604416896 is about 1170.6823632983.

The spelling of 1604416896 in words is "one billion, six hundred four million, four hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 154747 309494 464241 618988 928482 1237976 1392723 1856964 2475952 2785446 3713928 4178169 4951904 5570892 7427856 8356338 9903808 11141784 12534507 14855712 16712676 19807616 22283568 25069014 29711424 33425352 44567136 50138028 59422848 66850704 89134272 100276056 133701408 178268544 200552112 267402816 401104224 534805632 802208448 1604416896