Search a number
-
+
3944448976 = 2413223277307
BaseRepresentation
bin1110101100011011…
…1000001111010000
3101011220011202202211
43223012320033100
531034234331401
61451223121504
7166514156146
oct35306701720
911156152684
103944448976
1117445a1996
12920ba3294
134ab2717a0
14295c13596
15181450951
hexeb1b83d0

3944448976 has 80 divisors (see below), whose sum is σ = 8324022784. Its totient is φ = 1799926272.

The previous prime is 3944448967. The next prime is 3944448979. The reversal of 3944448976 is 6798444493.

3944448976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3944448976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3944448979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12848215 + ... + 12848521.

Almost surely, 23944448976 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 3944448976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162011392).

3944448976 is an abundant number, since it is smaller than the sum of its proper divisors (4379573808).

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

3944448976 is a wasteful number, since it uses less digits than its factorization.

3944448976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 58.

The square root of 3944448976 is about 62804.8483478784. The cubic root of 3944448976 is about 1580.0182895923.

The spelling of 3944448976 in words is "three billion, nine hundred forty-four million, four hundred forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 223 277 307 446 554 614 892 1108 1228 1784 2216 2456 2899 3568 3601 3991 4432 4912 5798 7202 7982 11596 14404 15964 23192 28808 31928 46384 57616 61771 63856 68461 85039 123542 136922 170078 247084 273844 340156 494168 547688 680312 803023 889993 988336 1095376 1105507 1360624 1606046 1779986 2211014 3212092 3559972 4422028 6424184 7119944 8844056 12848368 14239888 17688112 18963697 37927394 75854788 151709576 246528061 303419152 493056122 986112244 1972224488 3944448976