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4482678640 = 2451112773989
BaseRepresentation
bin1000010110011000…
…00011111101110000
3102120101221200001211
410023030003331300
533140031204030
62020451205504
7216041065636
oct41314037560
912511850054
104482678640
1119a039a8a0
12a512a6894
1356592068b
143074bb356
151b381b12a
hex10b303f70

4482678640 has 80 divisors (see below), whose sum is σ = 11381459040. Its totient is φ = 1628380160.

The previous prime is 4482678631. The next prime is 4482678653. The reversal of 4482678640 is 468762844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1121766 + ... + 1125754.

It is an arithmetic number, because the mean of its divisors is an integer number (142268238).

Almost surely, 24482678640 is an apocalyptic number.

4482678640 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 4482678640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690729520).

4482678640 is an abundant number, since it is smaller than the sum of its proper divisors (6898780400).

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

4482678640 is a wasteful number, since it uses less digits than its factorization.

4482678640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 49.

The square root of 4482678640 is about 66952.8090523467. The cubic root of 4482678640 is about 1648.8426092147.

The spelling of 4482678640 in words is "four billion, four hundred eighty-two million, six hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1277 2554 3989 5108 6385 7978 10216 12770 14047 15956 19945 20432 25540 28094 31912 39890 43879 51080 56188 63824 70235 79780 87758 102160 112376 140470 159560 175516 219395 224752 280940 319120 351032 438790 561880 702064 877580 1123760 1755160 3510320 5093953 10187906 20375812 25469765 40751624 50939530 56033483 81503248 101879060 112066966 203758120 224133932 280167415 407516240 448267864 560334830 896535728 1120669660 2241339320 4482678640