Search a number
-
+
43975968 = 253895147
BaseRepresentation
bin1010011111000…
…0010100100000
310001202012200120
42213300110200
542224212333
64210320240
71042534551
oct247602440
9101665616
1043975968
1122906883
1212889080
1391594aa
145baa328
153cd9db3
hex29f0520

43975968 has 48 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 14491136.

The previous prime is 43975961. The next prime is 43975979. The reversal of 43975968 is 86957934.

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

It is a self number, because there is not a number n which added to its sum of digits gives 43975968.

It is not an unprimeable number, because it can be changed into a prime (43975961) 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, 5971 + ... + 11117.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 243975968 is an apocalyptic number.

43975968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43975968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58378320).

43975968 is an abundant number, since it is smaller than the sum of its proper divisors (72780672).

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

43975968 is a wasteful number, since it uses less digits than its factorization.

43975968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249 (or 5241 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 43975968 is about 6631.4378531356. The cubic root of 43975968 is about 352.9705480916.

The spelling of 43975968 in words is "forty-three million, nine hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 5147 8544 10294 15441 20588 30882 41176 61764 82352 123528 164704 247056 458083 494112 916166 1374249 1832332 2748498 3664664 5496996 7329328 10993992 14658656 21987984 43975968