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4444963398 = 2331921072131
BaseRepresentation
bin1000010001111000…
…01100001001000110
3102110202222112111000
410020330030021012
533100402312043
62013022554130
7215102364651
oct41074141106
912422875430
104444963398
11198107a877
12a40738946
1355ab76a75
143024a0898
151b036b2d3
hex108f0c246

4444963398 has 96 divisors (see below), whose sum is σ = 10527304320. Its totient is φ = 1389901680.

The previous prime is 4444963387. The next prime is 4444963403. The reversal of 4444963398 is 8933694444.

It is a super-4 number, since 4×44449633984 (a number of 40 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2084793 + ... + 2086923.

It is an arithmetic number, because the mean of its divisors is an integer number (109659420).

Almost surely, 24444963398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444963398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263652160).

4444963398 is an abundant number, since it is smaller than the sum of its proper divisors (6082340922).

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

4444963398 is a wasteful number, since it uses less digits than its factorization.

4444963398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2262 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 4444963398 is about 66670.5587047236. The cubic root of 4444963398 is about 1644.2053728727.

The spelling of 4444963398 in words is "four billion, four hundred forty-four million, nine hundred sixty-three thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 107 114 171 214 321 342 361 513 642 722 963 1026 1083 1926 2033 2131 2166 2889 3249 4066 4262 5778 6099 6393 6498 9747 12198 12786 18297 19179 19494 36594 38358 38627 40489 54891 57537 77254 80978 109782 115074 115881 121467 228017 231762 242934 347643 364401 456034 684051 695286 728802 769291 1042929 1093203 1368102 1538582 2052153 2085858 2186406 2307873 4104306 4332323 4615746 6156459 6923619 8664646 12312918 12996969 13847238 20770857 25993938 38990907 41541714 77981814 82314137 116972721 164628274 233945442 246942411 493884822 740827233 1481654466 2222481699 4444963398