Search a number
-
+
3918990976 = 27237118749
BaseRepresentation
bin1110100110010111…
…0000111010000000
3101010010021100221221
43221211300322000
531011230202401
61444513324424
7166054605445
oct35145607200
911103240857
103918990976
111731193a1a
12914566714
134a5bc9c94
142926a79cc
1517e0c27a1
hexe9970e80

3918990976 has 64 divisors (see below), whose sum is σ = 8262000000. Its totient is φ = 1847802880.

The previous prime is 3918990973. The next prime is 3918990979. The reversal of 3918990976 is 6790998193.

It is an interprime number because it is at equal distance from previous prime (3918990973) and next prime (3918990979).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3918990973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199650 + ... + 218398.

It is an arithmetic number, because the mean of its divisors is an integer number (129093750).

Almost surely, 23918990976 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 3918990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131000000).

3918990976 is an abundant number, since it is smaller than the sum of its proper divisors (4343009024).

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

3918990976 is a wasteful number, since it uses less digits than its factorization.

3918990976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18857 (or 18845 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 61.

The square root of 3918990976 is about 62601.8448290464. The cubic root of 3918990976 is about 1576.6117339709.

The spelling of 3918990976 in words is "three billion, nine hundred eighteen million, nine hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 71 92 128 142 184 284 368 568 736 1136 1472 1633 2272 2944 3266 4544 6532 9088 13064 18749 26128 37498 52256 74996 104512 149992 209024 299984 431227 599968 862454 1199936 1331179 1724908 2399872 2662358 3449816 5324716 6899632 10649432 13799264 21298864 27598528 30617117 42597728 55197056 61234234 85195456 122468468 170390912 244936936 489873872 979747744 1959495488 3918990976