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4492992944 = 2411432692207
BaseRepresentation
bin1000010111100110…
…11010000110110000
3102121010100200122002
410023303122012300
533200201233234
62021500233132
7216224544536
oct41363320660
912533320562
104492992944
1119a61a5110
12a5483b7a8
13567ac230b
14308a04156
151b46a727e
hex10bcda1b0

4492992944 has 80 divisors (see below), whose sum is σ = 9757946880. Its totient is φ = 1986458880.

The previous prime is 4492992943. The next prime is 4492992949.

4492992944 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4492992944.

It is not an unprimeable number, because it can be changed into a prime (4492992943) 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, 2034689 + ... + 2036895.

It is an arithmetic number, because the mean of its divisors is an integer number (121974336).

Almost surely, 24492992944 is an apocalyptic number.

4492992944 is a gapful number since it is divisible by the number (44) 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 4492992944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878973440).

4492992944 is an abundant number, since it is smaller than the sum of its proper divisors (5264953936).

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

4492992944 is a wasteful number, since it uses less digits than its factorization.

4492992944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2532 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 56.

The square root of 4492992944 is about 67029.7914661832. The cubic root of 4492992944 is about 1650.1062611700.

The spelling of 4492992944 in words is "four billion, four hundred ninety-two million, nine hundred ninety-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 269 344 473 538 688 946 1076 1892 2152 2207 2959 3784 4304 4414 5918 7568 8828 11567 11836 17656 23134 23672 24277 35312 46268 47344 48554 92536 94901 97108 127237 185072 189802 194216 254474 379604 388432 508948 593683 759208 1017896 1043911 1187366 1518416 2035792 2087822 2374732 4175644 4749464 6530513 8351288 9498928 13061026 16702576 25528369 26122052 51056738 52244104 102113476 104488208 204226952 280812059 408453904 561624118 1123248236 2246496472 4492992944