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4940727040 = 2857575099
BaseRepresentation
bin1001001100111110…
…11000001100000000
3110202022211221100101
410212133120030000
540104311231130
62134132532144
7233302326004
oct44637301400
913668757311
104940727040
112105a03397
12b5a781054
136097a7832
1434c272704
151ddb491ca
hex1267d8300

4940727040 has 72 divisors (see below), whose sum is σ = 11852542800. Its totient is φ = 1973293056.

The previous prime is 4940727023. The next prime is 4940727053. The reversal of 4940727040 is 407270494.

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 7 ways as a sum of consecutive naturals, for example, 966411 + ... + 971509.

It is an arithmetic number, because the mean of its divisors is an integer number (164618650).

Almost surely, 24940727040 is an apocalyptic number.

4940727040 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 4940727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926271400).

4940727040 is an abundant number, since it is smaller than the sum of its proper divisors (6911815760).

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

4940727040 is an equidigital number, since it uses as much as digits as its factorization.

4940727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 4940727040 is about 70290.3054481911. The cubic root of 4940727040 is about 1703.1920464541.

The spelling of 4940727040 in words is "four billion, nine hundred forty million, seven hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 757 1280 1514 3028 3785 5099 6056 7570 10198 12112 15140 20396 24224 25495 30280 40792 48448 50990 60560 81584 96896 101980 121120 163168 193792 203960 242240 326336 407920 484480 652672 815840 968960 1305344 1631680 3263360 3859943 6526720 7719886 15439772 19299715 30879544 38599430 61759088 77198860 123518176 154397720 247036352 308795440 494072704 617590880 988145408 1235181760 2470363520 4940727040