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4494897792 = 2733721119127
BaseRepresentation
bin1000010111110101…
…01011001010000000
3102121020221110121000
410023322223022000
533201143212132
62022005132000
7216250000200
oct41372531200
912536843530
104494897792
1119a7286270
12a553ba000
1356830b348
14308d7c400
151b493187c
hex10beab280

4494897792 has 768 divisors, whose sum is σ = 17860608000. Its totient is φ = 1097349120.

The previous prime is 4494897791. The next prime is 4494897817. The reversal of 4494897792 is 2977984944.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4494897791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35392833 + ... + 35392959.

It is an arithmetic number, because the mean of its divisors is an integer number (23256000).

Almost surely, 24494897792 is an apocalyptic number.

4494897792 is a gapful number since it is divisible by the number (42) 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 4494897792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8930304000).

4494897792 is an abundant number, since it is smaller than the sum of its proper divisors (13365710208).

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

4494897792 is a wasteful number, since it uses less digits than its factorization.

4494897792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The square root of 4494897792 is about 67043.9989260784. The cubic root of 4494897792 is about 1650.3394210821.

The spelling of 4494897792 in words is "four billion, four hundred ninety-four million, eight hundred ninety-seven thousand, seven hundred ninety-two".