Search a number
-
+
42892054320 = 2435947188719
BaseRepresentation
bin100111111100100100…
…001100111100110000
311002201012222010012110
4213330210030330300
51200320331214240
631412045325320
73045622306023
oct477444147460
9132635863173
1042892054320
11172104a0285
128390566840
1340772a07cb
14210c7151ba
1511b0856c80
hex9fc90cf30

42892054320 has 80 divisors (see below), whose sum is σ = 133106480640. Its totient is φ = 11425742592.

The previous prime is 42892054313. The next prime is 42892054327. The reversal of 42892054320 is 2345029824.

42892054320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42892054313) and next prime (42892054327).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42892054327) 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, 132921 + ... + 321639.

It is an arithmetic number, because the mean of its divisors is an integer number (1663831008).

Almost surely, 242892054320 is an apocalyptic number.

42892054320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42892054320 is an abundant number, since it is smaller than the sum of its proper divisors (90214426320).

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

42892054320 is a wasteful number, since it uses less digits than its factorization.

42892054320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189682 (or 189676 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 42892054320 in words is "forty-two billion, eight hundred ninety-two million, fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 947 1894 2841 3788 4735 5682 7576 9470 11364 14205 15152 18940 22728 28410 37880 45456 56820 75760 113640 188719 227280 377438 566157 754876 943595 1132314 1509752 1887190 2264628 2830785 3019504 3774380 4529256 5661570 7548760 9058512 11323140 15097520 22646280 45292560 178716893 357433786 536150679 714867572 893584465 1072301358 1429735144 1787168930 2144602716 2680753395 2859470288 3574337860 4289205432 5361506790 7148675720 8578410864 10723013580 14297351440 21446027160 42892054320