Search a number
-
+
4290774016 = 210232892
BaseRepresentation
bin1111111111000000…
…0000010000000000
3102002000211220102011
43333300000100000
532241414232031
61545434102304
7211220656144
oct37760002000
912060756364
104290774016
111902037031
129b8b7a994
13534c3c049
142c9c05224
151a1a606b1
hexffc00400

4290774016 has 99 divisors (see below), whose sum is σ = 9068379901. Its totient is φ = 2029051904.

The previous prime is 4290774013. The next prime is 4290774017. The reversal of 4290774016 is 6104770924.

The square root of 4290774016 is 65504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 823919616 + 3466854400 = 28704^2 + 58880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4290774016.

It is not an unprimeable number, because it can be changed into a prime (4290774013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48210900 + ... + 48210988.

Almost surely, 24290774016 is an apocalyptic number.

4290774016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4290774016 is the 65504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4290774016

4290774016 is an abundant number, since it is smaller than the sum of its proper divisors (4777605885).

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

4290774016 is an frugal number, since it uses more digits than its factorization.

4290774016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The cubic root of 4290774016 is about 1624.9695004611.

The spelling of 4290774016 in words is "four billion, two hundred ninety million, seven hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 256 356 368 512 529 712 736 1024 1058 1424 1472 2047 2116 2848 2944 4094 4232 5696 5888 7921 8188 8464 11392 11776 15842 16376 16928 22784 23552 31684 32752 33856 45568 47081 63368 65504 67712 91136 94162 126736 131008 135424 182183 188324 253472 262016 270848 364366 376648 506944 524032 541696 728732 753296 1013888 1048064 1457464 1506592 2027776 2096128 2914928 3013184 4055552 4190209 5829856 6026368 8111104 8380418 11659712 12052736 16760836 23319424 24105472 33521672 46638848 48210944 67043344 93277696 134086688 186555392 268173376 536346752 1072693504 2145387008 4290774016