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3728254976 = 2113749201
BaseRepresentation
bin1101111000111000…
…1010100000000000
3100121211100222100122
43132032022200000
530113413124401
61413541235412
7161250434015
oct33616124000
910554328318
103728254976
111643559166
12880702b68
13475537544
1427521770c
1516c49821b
hexde38a800

3728254976 has 48 divisors (see below), whose sum is σ = 7656323220. Its totient is φ = 1813708800.

The previous prime is 3728254973. The next prime is 3728254987. The reversal of 3728254976 is 6794528273.

It can be written as a sum of positive squares in 2 ways, for example, as 3723928576 + 4326400 = 61024^2 + 2080^2 .

It is not an unprimeable number, because it can be changed into a prime (3728254973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51176 + ... + 100376.

Almost surely, 23728254976 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 3728254976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828161610).

3728254976 is an abundant number, since it is smaller than the sum of its proper divisors (3928068244).

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

3728254976 is an equidigital number, since it uses as much as digits as its factorization.

3728254976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49260 (or 49240 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 53.

The square root of 3728254976 is about 61059.4380583379. The cubic root of 3728254976 is about 1550.6074588826.

The spelling of 3728254976 in words is "three billion, seven hundred twenty-eight million, two hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2048 2368 4736 9472 18944 37888 49201 75776 98402 196804 393608 787216 1574432 1820437 3148864 3640874 6297728 7281748 12595456 14563496 25190912 29126992 50381824 58253984 100763648 116507968 233015936 466031872 932063744 1864127488 3728254976