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4445453440 = 27553831579
BaseRepresentation
bin1000010001111100…
…00011110010000000
3102110210220102200201
410020332003302000
533101014002230
62013041254544
7215106505441
oct41076036200
912423812621
104445453440
111981384a6a
12a40934454
1355acb8b2c
1430258b2c8
151b04165ca
hex108f83c80

4445453440 has 128 divisors (see below), whose sum is σ = 10965326400. Its totient is φ = 1722519552.

The previous prime is 4445453407. The next prime is 4445453459. The reversal of 4445453440 is 443545444.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4445453440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2814571 + ... + 2816149.

Almost surely, 24445453440 is an apocalyptic number.

4445453440 is a gapful number since it is divisible by the number (40) 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 4445453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482663200).

4445453440 is an abundant number, since it is smaller than the sum of its proper divisors (6519872960).

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

4445453440 is a wasteful number, since it uses less digits than its factorization.

4445453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 37.

The square root of 4445453440 is about 66674.2337038829. The cubic root of 4445453440 is about 1644.2657933238.

Adding to 4445453440 its reverse (443545444), we get a palindrome (4888998884).

The spelling of 4445453440 in words is "four billion, four hundred forty-five million, four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 83 106 128 160 166 212 265 320 332 415 424 530 640 664 830 848 1060 1328 1579 1660 1696 2120 2656 3158 3320 3392 4240 4399 5312 6316 6640 6784 7895 8480 8798 10624 12632 13280 15790 16960 17596 21995 25264 26560 31580 33920 35192 43990 50528 53120 63160 70384 83687 87980 101056 126320 131057 140768 167374 175960 202112 252640 262114 281536 334748 351920 418435 505280 524228 563072 655285 669496 703840 836870 1010560 1048456 1310570 1338992 1407680 1673740 2096912 2621140 2677984 2815360 3347480 4193824 5242280 5355968 6694960 6946021 8387648 10484560 10711936 13389920 13892042 16775296 20969120 26779840 27784084 34730105 41938240 53559680 55568168 69460210 83876480 111136336 138920420 222272672 277840840 444545344 555681680 889090688 1111363360 2222726720 4445453440