Search a number
-
+
3920894976 = 21031319743
BaseRepresentation
bin1110100110110100…
…0001110000000000
3101010020212002202110
43221231001300000
531012222114401
61445022215320
7166110025455
oct35155016000
911106762673
103920894976
111732274479
12915124540
134a64157cb
14292a4182c
1517e34b9d6
hexe9b41c00

3920894976 has 88 divisors (see below), whose sum is σ = 10531471104. Its totient is φ = 1296855040.

The previous prime is 3920894969. The next prime is 3920895001. The reversal of 3920894976 is 6794980293.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397561 + ... + 407303.

It is an arithmetic number, because the mean of its divisors is an integer number (119675808).

Almost surely, 23920894976 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 3920894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265735552).

3920894976 is an abundant number, since it is smaller than the sum of its proper divisors (6610576128).

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

3920894976 is a wasteful number, since it uses less digits than its factorization.

3920894976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9897 (or 9879 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The square root of 3920894976 is about 62617.0502020017. The cubic root of 3920894976 is about 1576.8670193024.

The spelling of 3920894976 in words is "three billion, nine hundred twenty million, eight hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 512 524 768 786 1024 1048 1536 1572 2096 3072 3144 4192 6288 8384 9743 12576 16768 19486 25152 29229 33536 38972 50304 58458 67072 77944 100608 116916 134144 155888 201216 233832 311776 402432 467664 623552 935328 1247104 1276333 1870656 2494208 2552666 3741312 3828999 4988416 5105332 7482624 7657998 9976832 10210664 14965248 15315996 20421328 29930496 30631992 40842656 61263984 81685312 122527968 163370624 245055936 326741248 490111872 653482496 980223744 1306964992 1960447488 3920894976