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4420796416 = 2231731
BaseRepresentation
bin1000001111000000…
…00000000000000000
3102102002111201121121
410013200000000000
533023210441131
62010401002024
7214360102201
oct40740000000
912362451547
104420796416
111969473863
12a34623314
13555b64a8a
142dd1ad5a8
151ad195911
hex107800000

4420796416 has 96 divisors (see below), whose sum is σ = 9663675840. Its totient is φ = 2013265920.

The previous prime is 4420796407. The next prime is 4420796459. The reversal of 4420796416 is 6146970244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142606321 + ... + 142606351.

It is an arithmetic number, because the mean of its divisors is an integer number (100663290).

Almost surely, 24420796416 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 4420796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831837920).

4420796416 is an abundant number, since it is smaller than the sum of its proper divisors (5242879424).

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

4420796416 is an frugal number, since it uses more digits than its factorization.

4420796416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 4420796416 is about 66489.0698987435. The cubic root of 4420796416 is about 1641.2201429629.

The spelling of 4420796416 in words is "four billion, four hundred twenty million, seven hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 496 512 527 544 992 1024 1054 1088 1984 2048 2108 2176 3968 4096 4216 4352 7936 8192 8432 8704 15872 16384 16864 17408 31744 32768 33728 34816 63488 65536 67456 69632 126976 131072 134912 139264 253952 262144 269824 278528 507904 524288 539648 557056 1015808 1048576 1079296 1114112 2031616 2097152 2158592 2228224 4063232 4194304 4317184 4456448 8126464 8388608 8634368 8912896 16252928 17268736 17825792 32505856 34537472 35651584 65011712 69074944 71303168 130023424 138149888 142606336 260046848 276299776 552599552 1105199104 2210398208 4420796416