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3872075076 = 223434572
BaseRepresentation
bin1110011011001011…
…0010110101000100
3100222211222210110000
43212302302311010
530412222400301
61440120001300
7164645044422
oct34662626504
910884883400
103872075076
11170775a351
12900900230
134992815ac
1428a374112
15179e06786
hexe6cb2d44

3872075076 has 45 divisors (see below), whose sum is σ = 10125298029. Its totient is φ = 1290318336.

The previous prime is 3872075033. The next prime is 3872075117. The reversal of 3872075076 is 6705702783.

The square root of 3872075076 is 62226.

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

3872075076 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 55800900 + 3816274176 = 7470^2 + 61776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1118340 + ... + 1121796.

Almost surely, 23872075076 is an apocalyptic number.

3872075076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3872075076 is the 62226-th square number.

It is an amenable number.

3872075076 is an abundant number, since it is smaller than the sum of its proper divisors (6253222953).

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

3872075076 is an frugal number, since it uses more digits than its factorization.

3872075076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6930 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The cubic root of 3872075076 is about 1570.2950310358.

The spelling of 3872075076 in words is "three billion, eight hundred seventy-two million, seventy-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3457 6914 10371 13828 20742 31113 41484 62226 93339 124452 186678 280017 373356 560034 1120068 11950849 23901698 35852547 47803396 71705094 107557641 143410188 215115282 322672923 430230564 645345846 968018769 1290691692 1936037538 3872075076