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4307198976 = 2103451929
BaseRepresentation
bin1000000001011101…
…01010010000000000
3102010011202101020000
410000232222100000
532310120331401
61551222120000
7211510405263
oct40056522000
912104671200
104307198976
111910335383
12a02580000
13538470162
142cc07ccda
151a3207186
hex100baa400

4307198976 has 110 divisors (see below), whose sum is σ = 12862385910. Its totient is φ = 1435705344.

The previous prime is 4307198963. The next prime is 4307199049. The reversal of 4307198976 is 6798917034.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4274021376 + 33177600 = 65376^2 + 5760^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 56980 + ... + 108908.

It is an arithmetic number, because the mean of its divisors is an integer number (116930781).

Almost surely, 24307198976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4307198976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431192955).

4307198976 is an abundant number, since it is smaller than the sum of its proper divisors (8555186934).

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

4307198976 is an equidigital number, since it uses as much as digits as its factorization.

4307198976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51961 (or 51934 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 4307198976 is about 65629.2539649812. The cubic root of 4307198976 is about 1627.0403059403.

The spelling of 4307198976 in words is "four billion, three hundred seven million, one hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 51929 82944 103858 155787 207716 311574 415432 467361 623148 830864 934722 1246296 1402083 1661728 1869444 2492592 2804166 3323456 3738888 4206249 4985184 5608332 6646912 7477776 8412498 9970368 11216664 13293824 14955552 16824996 19940736 22433328 26587648 29911104 33649992 39881472 44866656 53175296 59822208 67299984 79762944 89733312 119644416 134599968 159525888 179466624 239288832 269199936 358933248 478577664 538399872 717866496 1076799744 1435732992 2153599488 4307198976