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4585321920 = 263541971201
BaseRepresentation
bin1000100010100111…
…00111010111000000
3102211120002111011210
410101103213113000
533342320300140
62034555210120
7221425410324
oct42123472700
912746074153
104585321920
111a43327253
12a7b746940
13580c7b34a
14316d99984
151bc843d80
hex1114e75c0

4585321920 has 224 divisors, whose sum is σ = 15079772736. Its totient is φ = 1179648000.

The previous prime is 4585321901. The next prime is 4585321943. The reversal of 4585321920 is 291235854.

It is a super-2 number, since 2×45853219202 = 42050354220064972800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3817320 + ... + 3818520.

It is an arithmetic number, because the mean of its divisors is an integer number (67320414).

Almost surely, 24585321920 is an apocalyptic number.

4585321920 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 4585321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7539886368).

4585321920 is an abundant number, since it is smaller than the sum of its proper divisors (10494450816).

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

4585321920 is a wasteful number, since it uses less digits than its factorization.

4585321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 4585321920 is about 67715.0051318022. The cubic root of 4585321920 is about 1661.3326889311.

The spelling of 4585321920 in words is "four billion, five hundred eighty-five million, three hundred twenty-one thousand, nine hundred twenty".