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3922853888 = 2171732
BaseRepresentation
bin1110100111010010…
…0000000000000000
3101010101112121212202
43221310200000000
531013222311023
61445132212332
7166132464542
oct35164400000
911111477782
103922853888
111733392208
1291590a0a8
134a6950325
14292dd1692
1517e5d7128
hexe9d20000

3922853888 has 54 divisors (see below), whose sum is σ = 7891290729. Its totient is φ = 1950089216.

The previous prime is 3922853843. The next prime is 3922853899. The reversal of 3922853888 is 8883582293.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3086024704 + 836829184 = 55552^2 + 28928^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=44288.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

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, 22675370 + ... + 22675542.

Almost surely, 23922853888 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 3922853888

3922853888 is an abundant number, since it is smaller than the sum of its proper divisors (3968436841).

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

3922853888 is an frugal number, since it uses more digits than its factorization.

3922853888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 175 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 56.

The square root of 3922853888 is about 62632.6902503796. The cubic root of 3922853888 is about 1577.1295809086.

The spelling of 3922853888 in words is "three billion, nine hundred twenty-two million, eight hundred fifty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 512 692 1024 1384 2048 2768 4096 5536 8192 11072 16384 22144 29929 32768 44288 59858 65536 88576 119716 131072 177152 239432 354304 478864 708608 957728 1417216 1915456 2834432 3830912 5668864 7661824 11337728 15323648 22675456 30647296 61294592 122589184 245178368 490356736 980713472 1961426944 3922853888