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4424791968 = 25335121287
BaseRepresentation
bin1000001111011110…
…01111011110100000
3102102101000201111000
410013233033132200
533030221320333
62011022352000
7214436053062
oct40757173640
912371021430
104424791968
111970752773
12a35a2b600
135569335cc
142dd92d732
151ad6d4713
hex107bcf7a0

4424791968 has 48 divisors (see below), whose sum is σ = 12905645760. Its totient is φ = 1474930368.

The previous prime is 4424791961. The next prime is 4424791979. The reversal of 4424791968 is 8691974244.

4424791968 is a `hidden beast` number, since 442 + 4 + 7 + 9 + 196 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4424791961) 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, 2559780 + ... + 2561507.

It is an arithmetic number, because the mean of its divisors is an integer number (268867620).

Almost surely, 24424791968 is an apocalyptic number.

4424791968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4424791968 is an abundant number, since it is smaller than the sum of its proper divisors (8480853792).

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

4424791968 is a wasteful number, since it uses less digits than its factorization.

4424791968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121306 (or 5121292 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 4424791968 is about 66519.1097956069. The cubic root of 4424791968 is about 1641.7144434766.

The spelling of 4424791968 in words is "four billion, four hundred twenty-four million, seven hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 5121287 10242574 15363861 20485148 30727722 40970296 46091583 61455444 81940592 92183166 122910888 138274749 163881184 184366332 245821776 276549498 368732664 491643552 553098996 737465328 1106197992 1474930656 2212395984 4424791968