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4782638080 = 21051184919
BaseRepresentation
bin1000111010001000…
…10100010000000000
3110100022101012001201
410131010110100000
534243323404310
62110324310544
7226342516153
oct43504242000
913308335051
104782638080
112034746860
12b15842454
135b2b05b7c
1433527dc9a
151ced1ce3a
hex11d114400

4782638080 has 88 divisors (see below), whose sum is σ = 12515849280. Its totient is φ = 1739120640.

The previous prime is 4782638039. The next prime is 4782638087. The reversal of 4782638080 is 808362874.

It is a tau number, because it is divible by the number of its divisors (88).

It is a self number, because there is not a number n which added to its sum of digits gives 4782638080.

It is not an unprimeable number, because it can be changed into a prime (4782638087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13861 + ... + 98779.

It is an arithmetic number, because the mean of its divisors is an integer number (142225560).

Almost surely, 24782638080 is an apocalyptic number.

4782638080 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 4782638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257924640).

4782638080 is an abundant number, since it is smaller than the sum of its proper divisors (7733211200).

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

4782638080 is a wasteful number, since it uses less digits than its factorization.

4782638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84955 (or 84937 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 4782638080 is about 69156.6199289699. The cubic root of 4782638080 is about 1684.8290387058.

The spelling of 4782638080 in words is "four billion, seven hundred eighty-two million, six hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 11264 14080 28160 56320 84919 169838 339676 424595 679352 849190 934109 1358704 1698380 1868218 2717408 3396760 3736436 4670545 5434816 6793520 7472872 9341090 10869632 13587040 14945744 18682180 21739264 27174080 29891488 37364360 43478528 54348160 59782976 74728720 86957056 108696320 119565952 149457440 217392640 239131904 298914880 434785280 478263808 597829760 956527616 1195659520 2391319040 4782638080