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3907250064 = 243252092
BaseRepresentation
bin1110100011100011…
…1110011110010000
3101002022011212110100
43220320332132100
531000224000224
61443413532400
7165553035414
oct35070763620
911068155410
103907250064
1117255a4893
12910644100
134a3648bb3
14290cccd44
1517d053ac9
hexe8e3e790

3907250064 has 45 divisors (see below), whose sum is σ = 10936973073. Its totient is φ = 1302166656.

The previous prime is 3907250033. The next prime is 3907250089. The reversal of 3907250064 is 4600527093.

The square root of 3907250064 is 62508.

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

3907250064 is a `hidden beast` number, since 3 + 90 + 7 + 2 + 500 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3832600464 + 74649600 = 61908^2 + 8640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 747492 + ... + 752700.

Almost surely, 23907250064 is an apocalyptic number.

3907250064 is the 62508-th square number.

It is an amenable number.

3907250064 is an abundant number, since it is smaller than the sum of its proper divisors (7029723009).

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

3907250064 is an frugal number, since it uses more digits than its factorization.

3907250064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 3907250064 is about 1575.0357010804.

Multiplying 3907250064 by its sum of digits (36), we get a square (140661002304 = 3750482).

3907250064 divided by its sum of digits (36) gives a square (108534724 = 104182).

The spelling of 3907250064 in words is "three billion, nine hundred seven million, two hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5209 10418 15627 20836 31254 41672 46881 62508 83344 93762 125016 187524 250032 375048 750096 27133681 54267362 81401043 108534724 162802086 217069448 244203129 325604172 434138896 488406258 651208344 976812516 1302416688 1953625032 3907250064