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4830880384 = 271114923027
BaseRepresentation
bin1000111111111000…
…10110001010000000
3110110200011011001201
410133330112022000
534343201133014
62115210310544
7230466543241
oct43774261200
913420134051
104830880384
1120599a6a30
12b29a28454
135bcac7205
1433b83acc8
151d419be74
hex11ff16280

4830880384 has 64 divisors (see below), whose sum is σ = 10569852000. Its totient is φ = 2181022720.

The previous prime is 4830880367. The next prime is 4830880433.

4830880384 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198279 + ... + 221305.

Almost surely, 24830880384 is an apocalyptic number.

4830880384 is a gapful number since it is divisible by the number (44) 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 4830880384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284926000).

4830880384 is an abundant number, since it is smaller than the sum of its proper divisors (5738971616).

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

4830880384 is a wasteful number, since it uses less digits than its factorization.

4830880384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23201 (or 23189 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The square root of 4830880384 is about 69504.5349887329. The cubic root of 4830880384 is about 1690.4750346985.

The spelling of 4830880384 in words is "four billion, eight hundred thirty million, eight hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 149 176 298 352 596 704 1192 1408 1639 2384 3278 4768 6556 9536 13112 19072 23027 26224 46054 52448 92108 104896 184216 209792 253297 368432 506594 736864 1013188 1473728 2026376 2947456 3431023 4052752 6862046 8105504 13724092 16211008 27448184 32422016 37741253 54896368 75482506 109792736 150965012 219585472 301930024 439170944 603860048 1207720096 2415440192 4830880384