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4533414080 = 265132347381
BaseRepresentation
bin1000011100011011…
…00110100011000000
3102200221102022000012
410032031212203000
533241023222310
62025502444052
7220225245446
oct41615464300
912627368005
104533414080
111a16aa3108
12a66293628
135732a5750
14310126b96
151b7eddc05
hex10e3668c0

4533414080 has 112 divisors (see below), whose sum is σ = 12131308224. Its totient is φ = 1601064960.

The previous prime is 4533414071. The next prime is 4533414091. The reversal of 4533414080 is 804143354.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71990 + ... + 119370.

It is an arithmetic number, because the mean of its divisors is an integer number (108315252).

Almost surely, 24533414080 is an apocalyptic number.

4533414080 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 4533414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065654112).

4533414080 is an abundant number, since it is smaller than the sum of its proper divisors (7597894144).

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

4533414080 is a wasteful number, since it uses less digits than its factorization.

4533414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47434 (or 47424 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 4533414080 is about 67330.6325530958. The cubic root of 4533414080 is about 1655.0398800186.

The spelling of 4533414080 in words is "four billion, five hundred thirty-three million, four hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 130 160 184 208 230 260 299 320 368 416 460 520 598 736 832 920 1040 1196 1472 1495 1840 2080 2392 2990 3680 4160 4784 5980 7360 9568 11960 19136 23920 47381 47840 94762 95680 189524 236905 379048 473810 615953 758096 947620 1089763 1231906 1516192 1895240 2179526 2463812 3032384 3079765 3790480 4359052 4927624 5448815 6159530 7580960 8718104 9855248 10897630 12319060 14166919 15161920 17436208 19710496 21795260 24638120 28333838 34872416 39420992 43590520 49276240 56667676 69744832 70834595 87181040 98552480 113335352 141669190 174362080 197104960 226670704 283338380 348724160 453341408 566676760 906682816 1133353520 2266707040 4533414080