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3922862144 = 26472934451
BaseRepresentation
bin1110100111010010…
…0010000001000000
3101010101120001012112
43221310202001000
531013223042034
61445132314452
7166132530605
oct35164420100
911111501175
103922862144
111733398433
12915912a28
134a6954006
14292dd46ac
1517e5d97ce
hexe9d22040

3922862144 has 56 divisors (see below), whose sum is σ = 7978981248. Its totient is φ = 1912716800.

The previous prime is 3922862123. The next prime is 3922862147. The reversal of 3922862144 is 4412682293.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3922862147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879119 + ... + 883569.

It is an arithmetic number, because the mean of its divisors is an integer number (142481808).

Almost surely, 23922862144 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 3922862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989490624).

3922862144 is an abundant number, since it is smaller than the sum of its proper divisors (4056119104).

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

3922862144 is a wasteful number, since it uses less digits than its factorization.

3922862144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4793 counting only the distinct ones).

The product of its digits is 165888, while the sum is 41.

The square root of 3922862144 is about 62632.7561584192. The cubic root of 3922862144 is about 1577.1306873117.

The spelling of 3922862144 in words is "three billion, nine hundred twenty-two million, eight hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 47 64 94 188 293 376 586 752 1172 1504 2344 3008 4451 4688 8902 9376 13771 17804 18752 27542 35608 55084 71216 110168 142432 209197 220336 284864 418394 440672 836788 881344 1304143 1673576 2608286 3347152 5216572 6694304 10433144 13388608 20866288 41732576 61294721 83465152 122589442 245178884 490357768 980715536 1961431072 3922862144