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4505444320 = 2551317912101
BaseRepresentation
bin1000011001000101…
…11001111111100000
3102121222210021201011
410030202321333200
533211343204240
62023023150304
7216435434116
oct41442717740
912558707634
104505444320
111a0222a003
12a58a45394
1356a5618b0
1430a525ab6
151b58166ea
hex10c8b9fe0

4505444320 has 96 divisors (see below), whose sum is σ = 11527881120. Its totient is φ = 1654118400.

The previous prime is 4505444297. The next prime is 4505444347. The reversal of 4505444320 is 234445054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366270 + ... + 378370.

It is an arithmetic number, because the mean of its divisors is an integer number (120082095).

Almost surely, 24505444320 is an apocalyptic number.

4505444320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4505444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5763940560).

4505444320 is an abundant number, since it is smaller than the sum of its proper divisors (7022436800).

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

4505444320 is a wasteful number, since it uses less digits than its factorization.

4505444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12308 (or 12300 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

The square root of 4505444320 is about 67122.6066239981. The cubic root of 4505444320 is about 1651.6291616218.

Adding to 4505444320 its reverse (234445054), we get a palindrome (4739889374).

The spelling of 4505444320 in words is "four billion, five hundred five million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 179 208 260 358 416 520 716 895 1040 1432 1790 2080 2327 2864 3580 4654 5728 7160 9308 11635 12101 14320 18616 23270 24202 28640 37232 46540 48404 60505 74464 93080 96808 121010 157313 186160 193616 242020 314626 372320 387232 484040 629252 786565 968080 1258504 1573130 1936160 2166079 2517008 3146260 4332158 5034016 6292520 8664316 10830395 12585040 17328632 21660790 25170080 28159027 34657264 43321580 56318054 69314528 86643160 112636108 140795135 173286320 225272216 281590270 346572640 450544432 563180540 901088864 1126361080 2252722160 4505444320