Search a number
-
+
3991589664 = 253172445827
BaseRepresentation
bin1110110111101010…
…1101001100100000
3101022011212202122020
43231322231030200
531133321332124
61500025341440
7200625644436
oct35572551440
911264782566
103991589664
11176916a437
12934937880
134b7c6859a
1429c1a4d56
15185663379
hexedead320

3991589664 has 48 divisors (see below), whose sum is σ = 11094275808. Its totient is φ = 1252262912.

The previous prime is 3991589663. The next prime is 3991589669. The reversal of 3991589664 is 4669851993.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3991589598 and 3991589607.

It is not an unprimeable number, because it can be changed into a prime (3991589663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1221282 + ... + 1224545.

It is an arithmetic number, because the mean of its divisors is an integer number (231130746).

Almost surely, 23991589664 is an apocalyptic number.

3991589664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3991589664 is an abundant number, since it is smaller than the sum of its proper divisors (7102686144).

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

3991589664 is a wasteful number, since it uses less digits than its factorization.

3991589664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445857 (or 2445849 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 60.

The square root of 3991589664 is about 63179.0286724954. The cubic root of 3991589664 is about 1586.2877232964.

The spelling of 3991589664 in words is "three billion, nine hundred ninety-one million, five hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2445827 4891654 7337481 9783308 14674962 19566616 29349924 39133232 41579059 58699848 78266464 83158118 117399696 124737177 166316236 234799392 249474354 332632472 498948708 665264944 997897416 1330529888 1995794832 3991589664