Search a number
-
+
43923968 = 29112709
BaseRepresentation
bin1010011110001…
…1101000000000
310001122120100122
42213203220000
542221031333
64205235412
71042230134
oct247435000
9101576318
1043923968
1122880800
1212862b68
13913b91a
145b953c4
153cc9798
hex29e3a00

43923968 has 60 divisors (see below), whose sum is σ = 96601890. Its totient is φ = 19937280.

The previous prime is 43923967. The next prime is 43923983. The reversal of 43923968 is 86932934.

It can be written as a sum of positive squares in only one way, i.e., 42406144 + 1517824 = 6512^2 + 1232^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (43923967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61598 + ... + 62306.

Almost surely, 243923968 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 43923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48300945).

43923968 is an abundant number, since it is smaller than the sum of its proper divisors (52677922).

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

43923968 is an equidigital number, since it uses as much as digits as its factorization.

43923968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 722 counting only the distinct ones).

The product of its digits is 279936, while the sum is 44.

The square root of 43923968 is about 6627.5159750845. The cubic root of 43923968 is about 352.8313682274.

The spelling of 43923968 in words is "forty-three million, nine hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 709 968 1408 1418 1936 2816 2836 3872 5632 5672 7744 7799 11344 15488 15598 22688 30976 31196 45376 61952 62392 85789 90752 124784 171578 181504 249568 343156 363008 499136 686312 998272 1372624 1996544 2745248 3993088 5490496 10980992 21961984 43923968