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3909750784 = 2129772
BaseRepresentation
bin1110100100001010…
…0001000000000000
3101002110212220210121
43221002201000000
531001344011114
61443543310024
7165613222222
oct35102410000
911073786717
103909750784
111726a526a5
1291144b314
134a4013204
14291380412
1517d399a24
hexe90a1000

3909750784 has 39 divisors (see below), whose sum is σ = 7826557837. Its totient is φ = 1952874496.

The previous prime is 3909750769. The next prime is 3909750839. The reversal of 3909750784 is 4870579093.

The square root of 3909750784 is 62528.

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., 3657830400 + 251920384 = 60480^2 + 15872^2 .

It is a super-3 number, since 3×39097507843 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4001304 + ... + 4002280.

Almost surely, 23909750784 is an apocalyptic number.

3909750784 is the 62528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3909750784

3909750784 is an abundant number, since it is smaller than the sum of its proper divisors (3916807053).

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

3909750784 is an frugal number, since it uses more digits than its factorization.

3909750784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The cubic root of 3909750784 is about 1575.3716477799.

The spelling of 3909750784 in words is "three billion, nine hundred nine million, seven hundred fifty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 977 1024 1954 2048 3908 4096 7816 15632 31264 62528 125056 250112 500224 954529 1000448 1909058 2000896 3818116 4001792 7636232 15272464 30544928 61089856 122179712 244359424 488718848 977437696 1954875392 3909750784